Quantum Physics Full Course | Quantum Mechanics Course

[@noshiketokemu390]

i am honoured for the yt algorithm to recommend me this

[@anonymousop6406]

Me too

[@ehsankarami8078]

Hopefully me too

[@jacobgames3412]

Too

[@madala_v7147]

🙆🏼‍♂️!

[@doge_69]

Same man

[@I.amthatrealJuan]

Wow, an entire university course in one video, and it's free. Valuable

[@BenjWarrant]

Well, it would be, if the chapters didn't finish early leaving you high and dry without full understanding of the lecture.

[@PCgamerChannel]

12 hours isnt close to a full course in this topic though not even 100 hours

[@robertw1871]

Will be tough when you get to that part of the interview, where have to discuss your education background 😉

[@ohgosh5892]

It was, by far, my favourite subject area as an undergraduate. It's still glorious, stunning, amazing, incredible.

[@astrolillo]

@@BenjWarrant Yeah, what a crappy thing. I would expect that from some shitty kid doing game videos not from a college prof. Totally dissapointed

[@chasealtman5701]

This is the only period of history where this amount of knowledge is this accessible (and free). Thanks so much!

[@run1492]

Yes, but we are overwhelmed of it or some others ignore it

[@horenzodipartendo8225]

Its called a library bud

[@GabrielHodge]

​@@horenzodipartendo8225 since when was the library truly free

[@scottgerloffs6148]

I wish this shit was around when I was in highschool :(

[@chandelier6811]

@@horenzodipartendo8225you couldn’t get this at a library that isn’t a university one

[@creative-mind882]

🎯 Key Takeaways for quick navigation: 00:04 📚 The introduction to quantum mechanics involves explaining why it's necessary and providing historical context. 01:01 🕰️ In 1900, there was a belief that with perfect knowledge of the present, you could predict the future and understand the past, but some unexplainable experiments emerged. 24:27 🔮 Key concepts in quantum mechanics include the wave function (psi), which describes the system's state probabilistically, and operators that connect psi to observable quantities. 29:19 📜 The Schrödinger equation (iħ∂ψ/∂t = Ĥψ) is a fundamental equation in quantum mechanics, where Ĥ is the Hamiltonian (energy) operator. 01:02:19 🌌 The wave function (ψ) in quantum mechanics relates to probability distribution, and the squared magnitude of ψ represents the probability of finding a particle at a specific location. 01:06:21 📊 Variance and standard deviation are used to quantify the uncertainty or broadness of a probability distribution, with variance calculated as the mean of squared deviations from the mean. 01:47:00 🔄 The normalization of a wave function is not affected by time evolution, as the Schrödinger equation does not impact the normalization constant. 01:51:14 🧮 An example of normalizing a wave function involves finding a constant 'a' such that the integral of the squared magnitude of the wave function over a limited range equals 1. 02:19:18 🧐 The Heisenberg Uncertainty Principle relates the uncertainty in position (delta x) and momentum (delta p), and the relationship is expressed as delta p * delta x >= h bar / 2. 02:53:24 🔍 Solutions to these equations involve exponentials, resulting in a wave-like behavior when combined, with constants determined by boundary conditions. 03:14:12 🧮 Expectation values of operators in quantum mechanics involve integrating the wave function times the operator, which can be split into spatial and time parts, leading to stationary states with constant expectation values if the operator is time-independent. 03:16:25 🔄 Superpositions of stationary states are fundamental in quantum mechanics, and they allow for complex time dynamics. The linearity of the Schrödinger equation enables the construction of these superpositions. 03:21:59 📦 General solutions to the Schrödinger equation are constructed as superpositions of stationary states, which involve a sum over different stationary states, each multiplied by a constant coefficient. 03:38:43 🌊 Understanding wave function behavior: The curvature and direction of wave functions are influenced by the relationship between potential energy and the energy of the state. Higher potential energy leads to wave functions curving away from the axis, while lower potential energy leads to wave functions curving towards the axis. 04:05:01 🔍 Orthogonality of wave functions: Orthogonality in quantum mechanics is introduced as a concept where wave functions are analogous to vectors being orthogonal. Two wave functions are considered orthogonal when their inner product (dot product) is zero, providing a mathematical basis for evaluating orthogonality in higher-dimensional spaces. 04:06:40 📊 In quantum mechanics, you can think of multiplying two functions as an integral, like the integral of f(x) * g(x) dx, where you multiply function values at each x coordinate and sum them up. 04:07:23 🌌 In quantum mechanics, complex functions need their complex conjugates for calculations to make sense. 04:08:17 🔄 Solving the time-independent Schrödinger equation involves finding stationary states, which are wave functions that don't change over time. These can be used to understand quantum systems. 04:36:02 🌀 Combining multiple stationary states in quantum systems results in complex and erratic wave function evolution. 05:18:06 📝 A change of variables, substituting x with the square root of (h bar / (m omega)) times a new coordinate c, simplifies the time-independent Schrödinger equation for the quantum harmonic oscillator. 05:23:45 📝 The simplified Schrödinger equation in terms of the new coordinate c leads to the quantization of energy levels in the quantum harmonic oscillator, providing a framework for calculating wave functions and their corresponding energies. 05:28:21 🌌 The asymptotic behavior of the wave function for a free particle is approximately equal to a constant times e to the power of minus c squared over 2 for large values of position (c). 05:51:46 📷 Fourier transforms are powerful tools for analyzing images, separating high spatial frequency features from low ones. 06:05:04 ⚛️ Wave packets have a velocity approximately equal to the classical velocity, determined by twice the average energy divided by mass in the square root. 06:14:12 🆔 The Dirac delta function is the limit of a distribution and acts like a distribution in mathematical calculations. 06:45:08 🌊 Scattering states away from delta functions resemble free particle behavior with traveling waves. 06:45:40 🔍 The time-independent Schrödinger equation in regions with no potential (V(x) = 0) simplifies to -ħ²/2m d²ψ/dx² = Eψ, where E is strictly greater than zero. 06:46:52 📝 The general solution for scattering states includes psi = a e^(ikx) + b e^(-ikx) for x < 0 and psi = f e^(ikx) for x > 0. 06:50:23 📊 Boundary conditions result in equations involving coefficients a, b, c, d, f, and g, which can be solved for scattering state solutions. 07:05:08 📚 Linear algebra concepts are useful in quantum mechanics for manipulating solutions and inferring physical properties of systems. 07:10:02 🧮 Quantum mechanics involves representing the state of a system using vectors in Hilbert space, and these vectors can be manipulated using linear algebra. 07:19:16 🔄 Quantum observables are represented by Hermitian operators, ensuring the expectation values are real numbers. 07:31:48 📏 Quantum states with no uncertainty, such as states with determinate energy, can be mathematically described in the language of formal linear algebra. 07:37:58 📐 Hermitian operators in quantum mechanics satisfy an inner product condition where the inner product of the operator applied to two states equals the inner product of the states with the operator, ensuring observability. 07:39:56 🔍 Eigenvalue problems are common in quantum mechanics, with eigenstates corresponding to different solutions and eigenvalues representing measurable quantities. 08:44:04 🌌 The generalized uncertainty principle arises from the Schwartz inequality and reflects the fundamental limits on the precision with which we can simultaneously measure two non-commuting observables in quantum mechanics. 09:10:40 ⚖️ Energy-time uncertainty relation: ΔE * Δt ≥ ħ/2, where ΔE is energy uncertainty, Δt is time uncertainty, and ħ is reduced Planck's constant. 09:13:40 🔄 Stable systems have slow changes, resulting in large time uncertainties and small energy uncertainties. 09:25:12 🌐 Quantum mechanics explains the behavior of spectral lines in atoms, and transitions involve emission or absorption of photons. 09:33:01 🧪 Quantum mechanics introduces momentum operators in three dimensions, replacing classical arrows with hats. 09:37:31 🔄 Commutators of angular momentum operators (e.g., Lx, Ly) result in relations like [Lx, Ly] = iħLz. 10:21:22 🔄 Spin angular momentum, associated with half-integer values like 1/2, 3/2, etc., is a property of particles in quantum mechanics, particularly electrons. 10:22:54 🌀 Quantum mechanics expands to multiple particle systems, requiring wave functions for two or more particles, making computations more complex. 10:26:12 🔍 Normalizing wave functions for multiple particles in several dimensions becomes more challenging due to increased integration complexity. 10:26:57 ⏳ The time-independent Schrödinger equation remains fundamentally similar for multiple particle systems, though spatial wave functions become more complex. 10:30:31 🙅‍♂️ Fundamental particles like electrons are indistinguishable, meaning we can't track their individual identities in quantum mechanics. 10:38:59 🔄 Wave functions for indistinguishable particles can be constructed by combining permutations of single-particle wave functions with appropriate symmetry properties (plus or minus signs). 10:44:25 🧪 The Pauli Exclusion Principle states that two fermions cannot occupy the same quantum mechanical state due to their anti-symmetry under exchange, leading to unique behavior. 10:47:29 ⚛️ Bosons can occupy the same quantum mechanical state because they use a symmetric combination, allowing for different behavior compared to fermions. 11:01:20 📦 The behavior of free electrons in conductors can be understood by treating them as particles in a three-dimensional box with certain assumptions. 11:06:15 🧬 Fermions obey the Pauli Exclusion Principle, limiting the number of particles that can occupy specific quantum states in k-space, leading to a unique quantum mechanical structure in many-particle systems. 11:12:18 ⚙️ To simplify calculations, a one-dimensional crystal model with periodic delta function potential (Dirac comb) is used, despite its simplifications compared to real crystals. 11:19:46 🔄 To handle edge effects in periodic potentials, the material can be conceptually wrapped in a toroidal shape, maintaining periodicity and simplifying calculations. Made with HARPA AI

[@NicholasVictory-wo4kd]

Thank you

[@swolecole]

Real

[@mariusmomanu6772]

Thank you!

[@wesleyhendrix9088]

Thx

[@joshuamagat22]

Thank you so much. Great content.

[@Fidder492]

I’m very fortunate to have free access to such knowledge. Thanks

[@21rarzate]

What are You going to do with it?

[@user-bp5tg3yd3d]

Make others feel dumb😄

[@davidicke4451]

Quantum computing could threaten humanity as we know it kzbin.info/www/bejne/n6GWd6p3jrydodk

[@kennethhicks2113]

Indeed!

[@johnartgallery347]

Hi first of all your art is absolutely stunning 🤩,second, happy to watch!😛👍🍭😜👍beautiful artwork dear full watched 😍💞💞 Astonishingly beautiful!!!... What a brilliant masterpiece!!!... Your artwork is phenomenal! Your skill set is superb with amazing techniques!!!... Awesome creations! Absolutely love it ! Thank you for sharing!!!... 👍+🔔😘😊😘😛😜🍎🌷🌹🌺🍂🍃🎃🍒🍖🧀🍓🍊🍅🌭Again amazing work 💕 keep it up and stay connected 🙂❤️🧡🧡❤️🧡🤣💟💜💛💙💛💜💙Absolutely stunning Beautiful! 🤩,happy to watch!😛👍😜👍 wonderful! make a new friend just amazing no wordssss..💌💌💚❣️💛💕❤️🧡🧡so beautiful work really enjoy by watching your video keep sharing stay safe and connected🙂🤗👍🍂🌷😛🍖🌹❤️🧡🤣💟💜💛💙🧡🧡❤️

[@d_simp1040]

I have recently started graduate school and working towards my PhD in Physics. I soon realized I did not get the knowledge from undergrad QM I should have. Watching this and taking notes and doing the examples as if I was in the class has helped tremendously to fill in the gaps.

[@user-vq3lk]

Exactly

[@ps200306]

Ditto. This is a great refresher on undergraduate QM. By the way you can find the full set of lectures as a playlist on Brant Carlson's own yt channel.

[@georgen9755]

PhD in Physics ? In Civil Engineering Department are you crazy physics are learnt in .........all fields ? Quantum

[@georgen9755]

PhD in Physics ? In Civil Engineering Department are you crazy physics are learnt in .........all fields ? Quantum

[@heirloom100]

@@georgen9755 ? what even?

[@wifistudyfansclub5471]

I am watching the video from India in 2024. This course is for all the universities of India. The entire topic of quantum mechanics has been explained in one video. This video is very informative. If you all agree with me then like it.❤

[@SukhmeetKaur-xl5fp]

Hi, what prior knowledge do we need for watching this

[@jeanhiebert3425]

Im a retired academic librarian doing this just out of a desire to keep learning. I have no physics background so the math is beyond me but I understand the concepts. That's due solely to the excellent professor. I deeply appreciate that this information is available to people like me.

[@georgen9755]

If institutions allowed us to work like the chemistry laboratory staff of most engineering colleges I would be happy ..but the .........colleges don't want ......civil engineering who contributed towards the advancement of journals .. peer reviewed journals ................they lock the libraries and lock the attendance registers ....... who has the attendance of physics department mechatronics ? aarupadai veedu institute of technology ..... accountant padmanaban why they send laymen with levelling staff and theodolite .....of the civil Dept to the green apple moor ......what can I do after I have resigned after .....I was ..... associate professor assistant professor gradeII ? Right now no designation no employer simply Gandhi .....don't ....keep booking tickets and blame me half a dozen women call themselves Gandhi ......which Gandhi are you ??? please note Indian scientist are still holding their post whereas we don't even have a patreon job ....

[@KateMorganStyle]

I’ve got a record of research conducted at Harvard Special Collections on Ptolemy to Einstein as “philosophy” as that English MA. You never know when sciences and the humanities combine. This is still something I’m watching but I have to figure out at what time stamp it was something I didn’t know.

[@KateMorganStyle]

I skipped ahead to 1:56 Position, velocity and momentum is definitely junior year high school on a school that might staff Argonne labs in an emergency to a sophomore year with significant figures, stoichiometry and degrees kelvin to Ray, lazer, spectrum of light and gold foil equations.

[@KateMorganStyle]

Yep. We are past Schrodinger. This might be all the time we have today. I’m a training athlete for Masters USTAF and Events that have a an easy path to Olympic Hopeful from USAT. I might have to give up Masters SWIM.

[@perhusum2012]

⁰⁰⁰å⁰å4​@@KateMorganStyle

[@hazespo]

Im currently 15, a junior in high school and I’ve always been interested in more theoretical sciences and sciences that are more thought based and less “we know what this does. Copy it down. It will be on the test” I’ve tried this video twice, once when I was 11, the again when I was 13. Both of those times I had no science knowledge besides the basic “laws of motion” and “we need energy to live”. So here I am 2 years later. With a bio and chem class in my tool belt and I’m determined to understand this. I don’t care if it takes me pausing and researching every other minute or rewatching this 10 times. I’m determined to understand this.

[@ei6728]

you're epic :D

[@hazespo]

@@ei6728 thank you ❤️

[@jorgecoppel]

Hey! I'm a starting PhD student and it's really cool that you're interested in Quantum mechanics. However, (and just take this as advice) it is completely impossible that you even get close to understanding QM with only biology and chemistry background. You should start building from the foundations. You can't understand the underlying concepts explained in this video without at least dominating calculus, differential equations, and physics ( and all these requirements would be the bare minimum where you would still struggle ). Again, I admire your determination specially at such a young age; but you're literally trying to build a spacecraft with sticks and ropes. My advice is: master the basics and all the material required to actually understand quantum mechanics before you dive into it. Good luck!

[@hazespo]

@@jorgecoppel yeah I almost immediately realized this. So I got an AP physics textbook and I’m learning Calculus as I go! I kinda just meant I have bio and chem under my belt as actually classes! I’ve been super into the physics side of science for awhile so while I don’t have any classes I do have a good general understanding of them to build on! Still so much to learn and coming to this video helps keep me motivated thru the basics :) thank you

[@Tobi21089]

Look more into matrices and into differential equations I mean very advanced stuff you can't understand quantum mechanics without having solid understanding about those 2 topics especially

[@itainteasywhenitshard7087]

Mom said one more video before bed

[@alphazero339]

If she bans this video, play 10 hours of dancing spongebob

[@JohnnyJohnny-f5o]

Take your time, I'll entertain your mom.

[@AkiraHartono]

Watch 24 hour endurance race

[@Normalsimplicity]

​@@JohnnyJohnny-f5o how will you entertain her?

[@blazeyt6732]

​@@JohnnyJohnny-f5o?

[@overlordprincekhan]

I am feeling very privileged to have access to such knowledge. Thanks

[@loserhero8955]

@William Rosenberg yup malawi456

[@zoomzoom2276]

Great times were in😊

[@mayurchaudhari850]

"Entire quantum mechanics in one video" The video: more than 11 hours long Love it, i can now learn QM before i should

[@jacobvandijk6525]

WARNING: The limitations of QM: 1. It doesn't treat time and space the same way and therefore violates Special Relativity; 2. It can't explain the creation and destruction of particles; 3. It only deals with massive particles. And because of these three points Quantum Field Theory was needed.

[@knightjacob80]

Everything is grown off something and our size relative to quantum. The gap is too great so we create tools to find/see the differences so we can break them down further and understand what builds what. Light is a particle on the quantum level and when it interacts with things it slows down enough to become color or a frequency. The wavelength is because of its energy which is mass and velocity so super small but amount is... well look around, its overwhelming, we eat light with our eyes and break down the pieces of info like the heat and color and shape and our malleable brain takes the broken pieces in and grows neuron connections with the nutrients of quantum particles and the similar info goes down the path of least resistance. Its like guiding electricity with light, similar wavelengths can connect like water flowing into a rut or least resistance path but once the neurons count the differences it grows connections and passes differences along so more can be used by us. Or thats what i think could be happening.

[@kaylalambertp6403]

I have my university Quantum exam tomorrow and this has been more helpful than the entire year with my teacher, thank you so much

[@joe.7295]

Hello can you send me the exam for research?

[@brenobutcher]

I will watch all at once tomorrow! No stop, no snack, no toilet, just quantum mechanics.

[@razatk629]

did you do it?

[@chrissyday67]

@@razatk629 haha that's what i was wondering

2:04:08 has a sign error. The error is fixed on the next slide. You could add a little comment to the video at that timestamp to avoid confusion. Really enjoying the series so far!

[@AA-gd2tb]

Also poor speck of dust in the breeze, such abrupt fate, I'm crying

[@ozzyfromspace]

I'm very excited for this video! I have always wanted to go deeper than classical E&M, reaching all the way to quantum E&M, and this feels like the right place to spontaneously start that journey. Best wishes to my fellow Horatio's.

[@Walter-uy4or]

Liking it so far. There is an odd gap at around the 24:30 mark. Part of the "dust in the breeze" disappears and the next section begins....not a huge deal admittedly.

[@An0nyrat]

yeah. im sure the example was to show that, even though its at a small scale, quantum mechanics were not necessary compared to a hydrogen atom.

[@thegoofiestgoooberr]

those are littered throughout the video, you can go to the playlist on the original channel through a link in the description for full, uncut videos

[@jamesgronseth9544]

Within the first few minutes after the Albert Michelson quote, there was a small error made when discussing Uranus and Neptune. You mixed up the planets is all. By studying and examining Uranus' orbital perturbations, we were then able to discover Neptune. Uranus was discovered ~60 years prior by William Herschel and his telescope. Thanks for sharing the video btw!

[@bluefloyd1]

I had to try to keep the faith throughout the video because of this mistake so early. I was so worried that the rest of the course would be plagued by simple mistakes like this. I love the course, but I still have that doubt and I wish it wasn't there!

[@chrissyday67]

Thahks for that info,

[@veronikaatanasova567]

Sir, I think you just singlehandedly saved my quantum mechanics midterm. This video explained what I couldn't understand with endless lectures, textbooks and research. Thank you.

[@anirudhdave8955]

Knowledge for free and full....salute to your charity.... Regards Anirudh....from BHARAT(INDIA)

[@yukasuzuki5906]

I'm currently taking my first QM course at university. I've been feeling lost after every lecture, but this video just gave me some much-needed clarification. It's very helpful! Thank you so much!

[@learninganimate3181]

The fact that some people do this in university and i'm doing this for fun is fascinating

[@herculet]

well we do learn while having fun, maybe :)

[@Tobi21089]

I can tell u u will definitely not have the same knowledge as someone studying quantum mechanics for a whole semester 4 hours each week this is probably not even close too it

[@sanderb.7813]

​@@Tobi21089 I'm a applied physics engineering student and QM is one of the many courses we have. This video is close to the basics of the lectures but the difference is in the mathematical proof. Normally we proof and derive everything like the first 3 experiments of this video.

[@Tobi21089]

@@sanderb.7813 I study physics too but the classic bachelor and this isn't as deep as a full course in the bachelor it can't be literally that deep because it isn't even that long

[@marcosantiago6818]

Amazing Video. I studied undergraduate engineering, and I'm certified in Machine Learning, having taken the Standford Online course in Machine Learning. I'm slowly dipping my foot into Quantum computing, mainly to ground my fictional writing and my natural curiosity. This is an amazing resource!!!

[@CalamitousJonathan]

I am 1:17:23 in and I am tapping out. I simplified the problems with the video as best I could, so far.

[@nono-yh2vi]

Bro take a damn break you went full on with this

[@sn3ax]

funny how the best videos and the best academic channel is hidden behind a plethoria of popsci 10-20mins vids. after viewing most of those i wanted to get to the intricate details of the math behind it and this channel provides. thank you

[@Theo-xd4so]

A shame that so many of the lectures are cut off, but still a very helpful video!

[@karm00n29]

like which ones? do you think its worth watching the whole thing, or maybe should i go for the MIT opencourseware playlist of QM?

[@akyceee]

@@karm00n29 Im one hour in so far and this video seems really well paced I think you should try. And all the times the lecture was cut off i was thinking "im gonna skip this part" anyway, so it shouldnt be a dealbreaker

[@karm00n29]

@@akyceee i found a playlist of full vids , its from channel brant carlson

[@shannonmcdonald7584]

This is the first instructive video that has worked for me. It's the math helping me to conceptualize things like density and uncertainty etc... Even without calculus exp, my A2 mastery has become the perfect vehicle for interpreting QM thus far. Touche, Prof. See you at the finish line!

[@kongr889]

This material is exact what I has been looking for! Thanks! I am looking forward to dive into QM with rigid mathematics and to really appreciate the equations themselves!

[@Love-Kumar143]

Hey Everyone, I found this channel for finding lesson for Quantam Mechanics. And i found a wide range of lectures here. I am shocked why this channel is so Underrated. Truly bro I have never hear about this channel anywhere. This channel is amazing please support this.

[@gustavinho1510]

I am only about 45 minutes into this course, so I still have a lot to see, but this professor and his method of explanation and introduction of the syllabus is astonishing and one of the best I have ever seen, up there with the simplicity and beauty of 3B1B and the mathematical and physics rigor of a textbook.

[@trial544]

I took a quantum mechanics course in high school in my junior year (last year) and I am very surprised to say this but I understood the entirety of this amazing free video and that my high school covered 95% of the material here and some other topics beyond. It was extremely helpful as a revision though.

[@GrifGrey]

as a high school freshman, this is very useful for my introductory physics course

[@miguel.bbeats3136]

lol

[@williamnowickijr.4888]

I'm so thankful for this channel. Ty to all who work to make this happen!

[@Exeee.]

I am literally J. Robert Oppenheimer (I have no idea whats happening)

[@lambsauce5580]

Real (I’m 15)

[@miaotian1146]

My daughter is in 5th grade and is currently 10. She has been learning quantum physics/mechanics from you. Thank you for posting this video!

[@kidzbop38isstraightfire92]

This guy is a very good teacher. Most of this stuff is above me (B.S. Nuclear Engineering, UT-K, 2012) but he does as good as anyone I've heard simplify it.

[@wb7ptr]

I don't think some of it CAN be simplified.

[@kurtgodel28]

As a B.S. in Nuclear Engineering, shouldn't you have a good grasp of QM already?

[@kidzbop38isstraightfire92]

@@kurtgodel28 depends on what you mean by "good". If you mean "Were you taught the general concepts of the Wave Function and Schroedinger Equation and Nuclear Kinematics?" then Yes. If you mean "can you calculate the wave function of two Hydrogen Atoms interacting?" then No. There was so much to learn in my classes (Reactor Theory, Electrical Control Systems, Thermo, Materials Science, etc.) that we didn't have time to get deep into actual theoretical physics problems. We would hit them on the surface, maybe do a calculation or two, and then move on. In short, I'd say I know way more than the general population, but not compared to an actual physics major.b

[@kurtgodel28]

@@kidzbop38isstraightfire92 I mean at the level of this video at least. I'm asking because I have a major in Nuclear Engineering also (meaning a 5 year course of study) and Quantum Mechanics was one of our main exams of the 3rd year. In my country, B.S. and M. Sc. were not separate degrees until 20 years ago, so we had fewer but longer courses throughout the year, maybe that explains why we had time to dig into the theory as well.

[@kidzbop38isstraightfire92]

@@kurtgodel28 ah a fellow NE, good man! Yea so I guess I may have undersold some things now that I'm rewatching the video, almost all of the concepts were taught (although we didn't do much with operators or Hilbert Spaces), I just don't remember the math to solve them. If asked right now, I couldn't solve any of these problems without refresher (varying from a 5-minute review to 1+ hours if it's solving PDEs). Also (and this is the crux of my original comment), while almost all of this content looks familiar and I could solve the equations after refresher, none of it is really conceptualized for me to where I truly understand what it's saying. Sure, I know what orthogonality means, and I know what an infinite potential well means, but the Why's and the Hows and what all of this means in actuality is still outside of my grasp. Like, what does it really mean physically to say that Quantum States are vectors in abstract vector space? What does the Eigenstate of a position representation of the wave physically mean? I'm short, If I was asked by a first-year physics major to explain all of these concepts and why (mathematically) we do them, I'd be lost.... especially now since I haven't seen this stuff in ~15 years. EDIT: also, we were a 4-year degree, so maybe that extra year gave you all more rigor in the QM aspects...or maybe I was just a bad student 😂

[@TheJojoaruba52]

It’s a good thing for the world of physics that I didn’t have you for my physics professor in college. I probably would have become a physicist and ruined the discipline. 😂 Really well done!!!!

[@clevertaco328]

how exactly would you of done that? lol

[@CH-dt1br]

EXACTLY

[@parikshitkulkarni3551]

I'm a complete beginner to quantum mechanics and I'm going to start from this video 1:26:17 day one done

[@Just_a_lazy_dude]

Did you complete it?

[@leechungpewching]

6 Minutes in and I Love the way this guy draws and explains things

[@utkalpandurangi745]

Heartfelt thanks, Brant Carlson! We are lucky to be able to access your lectures and learn from you.❤

[@maxjacko4344]

so thankful for this. QM exam is in about 10 days, and have been dreading it, as we missed alot of content and lectures/workshops about how to answer questions due to strikes. This really helps!!

[@tgrujic1487]

Good luck on the exam!

[@alexelkhoury2196]

How did u do?

[@augustdilge6421]

The photoelectric effect was discovered and explored deep enough by Heinrich Hertz in 1887. On the advice of Max Planck, Einstein merely provided interpretations of that effect on the basis of Max Planck's discoveries in quantum mechanics.

[@normanmikalac739]

Merely? Rather profound to win the prize.

[@Geronimo122]

I’m still working on the concept of infinity that was mentioned early in this series (where the limits of classical physics apparently run aground). Just wondering if anything actually "works" at infinity, or for that matter, whether infinity really exists in the first place? I can see this is going to require more work- like a lot more… maybe infinitely more.

[@ianclark6730]

You can play around with infinity, but it's more like a made up tool mathematicians created to make things easier, like imaginary numbers. Doesn't really map to the real world, just one of the many tricks/tools mathematics has to make things work out

[@SplendidKunoichi]

my idea of infinity is some quantity that just isn't a number. a fair amount of mathematics really does work at infinity, in very much the same way that non-math fields of study would do their work on those things that are not numbers, or whichever things that to people as such definitely *do* exist, and no less work without ever affording themselves to abandon all quantatitive reasoning (eg. things will always "add up" no matter what, because otherwise you'd know things aren't adding up). infinity not being a number is only a problem because as it happens, math and numbers were kind of made for one another. heck, if math only ever used numbers, there wouldn't even be such thing as a math "problem". consider how for at least 100 years after being invented, calculus had no rigorous foundation whatsoever. like Ian says, the analysis ("playing around with") of infinities using math totally works, and obviously math remains the foremost tool in actually defining the concept and developing new knowledge of what infinity even is; but i think this shows that no matter the reason mathematics simply can't always be the best tool for the job, and its precisely when the infinities start showing up that you might just begin finding as much.

[@Tobi21089]

Infinity is never seen as a value it is more like something that tells u if u go too the bigger and bigger values the answer will get more and more accurate for example sums that get summed up too Infinity of course u never reach it but the Infinity sign tells u too add as much u can too get as close of an answer u need

[@jessewolf7649]

@@ianclark6730insane comment

[@krishnakanthch]

@@Tobi21089 A BIG yes........................

[@cloud_uti]

Open access culture at its finest. Thank you so much

[@swaenenl516]

By far the best introductory quantum mechanics course on this platform, hands down. Well played.

[@yoski2874]

Finished watching Oppenheimer and all of a sudden quantum mechanics courses video are now showing up

[@anaccount8474]

The QM lectures when I studied physics were incomprehensible, this looks so much clearer.

[@DenialSongs]

I am in love with the fact that the most viewed moments are exactly a spike of the moment he explains dirac distribution

[@carlosalexandreFAT]

Ramanujan number: 1,729 Earth's equatorial radius: 6,378 km. Golden number: 1.61803... • (1,729 x 6,378 x (10^-3)) ^1.61803 x (10^-3) = 3,474.18 Moon's diameter: 3,474 km. Ramanujan number: 1,729 Speed of light: 299,792,458 m/s Earth's Equatorial Diameter: 12,756 km. Earth's Equatorial Radius: 6,378 km. • (1,729 x 299,792,458) / 12,756 / 6,378) = 6,371 Earth's average radius: 6,371 km. The Cubit The cubit = Pi - phi^2 = 0.5236 Lunar distance: 384,400 km. (0.5236 x (10^6) - 384,400) x 10 = 1,392,000 Sun´s diameter: 1,392,000 km. Higgs Boson: 125.35 (GeV) Phi: 1.61803... (125.35 x (10^-1) - 1.61803) x (10^3) = 10,916.97 Circumference of the Moon: 10,916 km. Golden number: 1.618 Golden Angle: 137.5 Earth's equatorial radius: 6,378 Universal Gravitation G = 6.67 x 10^-11 N.m^2/kg^2. (((1.618 ^137.5) / 6,378) / 6.67) x (10^-20) = 12,756.62 Earth’s equatorial diameter: 12,756 km. The Euler Number is approximately: 2.71828... Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Golden number: 1.618ɸ (2.71828 ^ 6.67) x 1.618 x 10 = 12,756.23 Earth’s equatorial diameter: 12,756 km. Planck’s constant: 6.63 × 10-34 m2 kg. Circumference of the Moon: 10,916. Gold equation: 1,618 ɸ (((6.63 ^ (10,916 x 10^-4 )) x 1.618 x (10^3)= 12,756.82 Earth’s equatorial diameter: 12,756 km. Planck's temperature: 1.41679 x 10^32 Kelvin. Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Speed of Sound: 340.29 m/s (1.41679 ^ 6.67) x 340.29 - 1 = 3,474.81 Moon's diameter:: 3,474 km. Cosmic microwave background radiation 2.725 kelvins ,160.4 GHz, Pi: 3.14 Earth's polar radius: 6,357 km. ((2,725 x 160.4) / 3.14 x (10^4) - (6,357 x 10^-3) = 1,392,000 The diameter of the Sun: 1,392,000 km. Orion: The Connection between Heaven and Earth eBook Kindle

[@worldofreviewodia5821]

Thanks bruh❤

[@getshorty7549]

probability theory and wave distribution portion of this lecture actually helped me understand integral calculus better even though this course considers one has already covered a good deal of integral calculus

[@ShrabantiDeb]

OMFG!!!! This is saviour! this is all i wanted. Basics are specifically clarified.

[@HaadBajwa-q9n]

Your explanation is excellent, and this course in quantum mechanics qualifies you for a nobel prize 🏆.

[@lordmax-2002]

About time KZbin recommended me this goldmine

[@flamingoblue9376]

I’m 13, but sure why not, I’m still learning about the circumference and how to do area properly, let’s do something I won’t be able to comprehend with a sort of knowledge 👍

[@arjungurkhude3540]

Wonderful sir, it is really awesome to grasp the whole idea/concepts of QM in one go. Also, sir if you make a similar Explanation for Statistical mechanics it would be great.

[@pinklady7184]

I let ads play out to their ends, so that you get paid and make more videos. Thank you for your tutorials.

[@Pseudify]

Is that true? Owners of videos only get paid for ads if the viewer watches the whole thing?

[@Infinitesimally_Big]

@@Pseudify Yes, AFAIK. Watch-time doesn't get you money.

[@eterno2457]

@@Pseudify it depends on the length of it, you only need to watch 30 seconds. So, if its a 30-second ad or lower, then you have to watch all of it, but if its longer, then anything beyond the 30 seconds is useless

[@johnnafunkhouser5999]

This drew me right in. I'll be watching it all. Thank you 🎉

[@marymwangi7752]

Am glad to have the full knowledge in one video ,,how privileged am I when I need this knowledge most am grateful for this akh,,a full unit

[@howdynamic6529]

It is an amazing time to be alive. You get such quality content for FREE!

[@JEEADVANCE-sf1bj]

FINALLY I UNDERSTAND QUANTUM MECHANICS BECAUSE OF YOUR GREAT EXPLANATION .

[@arekkrolak6320]

4:15 this historical approach is excellent, these 3 experiments are not what is usually explained in relation to QM

[@schmetterling4477]

The historical approach is very poor QM teaching because what it does is to expose you to all the confusion without telling you about the trivial resolution.

[@andrewcgs]

@@schmetterling4477 might be trivial to you.

[@gjones7547]

Q.M. - KZbin recommends some excellent videos at times, and this is one of them. Cheers from England. 👍

[@clipcraze-z]

Thank you sir you taught me quantum mechanics by early age. Now I am 14yrs, therefore I got a free course from you. Thank you

[@schmetterling4477]

So, what is the wave function of a single quantum in a gravitational field, kid? ;-)

[@wallm1nera800]

@@schmetterling4477 dont know if that is right but - Ψ(q, t) = C exp [−i(Et − p · q)/¯h]

[@Cheetahfy]

@@schmetterling4477 how rude of you

[@schmetterling4477]

@@Cheetahfy What is? Telling an idiot that he is an idiot? That's just a fact. ;-)

[@Cheetahfy]

@@schmetterling4477 that’s rude

[@TaylorMxtchell]

I study biochemistry, always really enjoyed physics but never really understood it, committed to understanding this video

[@shadowflame9838]

I'm wanting to go to college for physics. So this video is extremely helpful for giving me a head start.

[@sakumar]

Great content! However, several lectures end abruptly mid sentence and the next one starts. I hope this can be fixed.

[@SGayanFernando]

It's because this version is a 22-hour course shortened to 11 hours. Full 22-hour course is available in 2 parts. (8+14 hours) Here's the actual FULL COURSE. 📌️Part 1: kzbin.info/www/bejne/rp_XY6uJg7eBpJI 📌️Part 2: kzbin.info/www/bejne/h4KmfoKZbd51bZI

[@sakumar]

@@SGayanFernando Thanks so much! So this version is stolen content then?

[@BlueRaja]

@@SGayanFernando The actual original version is here: kzbin.info/aero/PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI The ones you linked are also broken copies of the original

[@balabuyew]

@@SGayanFernando This info definitely should be in the desciption of this video.

[@Moez-t2n]

Bro u'r a legend Some people don't know how just hard it is to get this kind of knowledge arranged like this

[@ziedyahyaoui2900]

This is very helpful. Unfortunately, many lectures in this video were interrupted and it jumps to the next slide before finishing the discussion.

[@johnnycanuck1901]

Yes, I found it quite irritating. But overall, it is very well done. One more thing, he keeps referring to a text. Anyone know whether such a text is available? Thank you.

[@noahshamus4479]

Not sure. Would love to know

[@adarshranjan7828]

Greatful to have this video on my feed as it is a whole course on QM in a video. So grateful for this amount of knowledge

[@charliekim2939]

I was a physics major - half a century ago. Although I ended up doing something else for living, I never lost interest in physics. I will skip this course. But, I would like to pre-register for QFT if it iscoming.

[@NikolasScience]

I feel so fortunate to have free access to knowledge like this. Thank you!

[@jonknutton]

Not sure if you are aware, but several of the sections in this course have been cut short (perhaps its an upload artifact from being such a long video?). Very frustrating because its otherwise fantastic. There's also a few sections that are mute.

[@yvesclement7840]

Same problem here. The sections on linear algebra for example are basically left to nothing. It is quite sad given the amount of efforts put in this lectures and the clarity of the presentation that make them so interresting.

[@armin1022]

Same here

[@moustafazada5990]

you can find the original vidoes with full length on dr.brant's channel: kzbin.info/aero/PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI

[@Memorise4]

​@@moustafazada5990thanks a lot

[@conorraesimpson5897]

@@moustafazada5990 you are the best

[@CalamitousJonathan]

i cubed = Iron in a cube. X axis Y axis how do you simplify X axis Y axis when explaining directions in space? 360 Degree rotation on the X Y axis. Two numbers Quantum Mechanics requires Comsmic Navigation education. Because spacial awareness on the X Y axis is important when not knowing which way is up and down or left and right.

[@beastmode1647]

“Full course”...yet most lectures cut out halfway through Here’s the actual full course: Part 1: kzbin.info/www/bejne/rp_XY6uJg7eBpJI Part 2: kzbin.info/www/bejne/h4KmfoKZbd51bZI

[@pepitogrillo3368]

thank you so much

[@dipashreeanddiksha573]

I am 11 years old. I had just started my junior year of high school. I have always been interested in astrophysics & space science. I have played this video once about a week ago, now I am playing it again to learn about more of quantum mechanics. I had learned so much by seeing this video. I am insisted to understand this topic....

[@Dev-wg9ye]

cap

[@dter706]

Enjoy your days as a kid and teenager man, don’t rush things. You’ll get there when the time is right.

[@dipashreeanddiksha573]

@@dter706 I know but i want to try to do things at a small age

[@dter706]

@@dipashreeanddiksha573 I'm sorry to say this, but then there's a huge learning curve for you. Highschool algebra needs to be totally mastered, followed by a solid understanding of linear algebra taught in university, as well as calculus 1, calculus 2, calculus 3 and differential equations (+partial differential equations). A solid understanding of classical mechanics (newtonian, lagrangian) and then lastly electrodynamics (including everything about electromagnetic waves in particular). A solid understanding is not only gained by watching videos, but it is gained by applying the theory to exercises. All in all this would take someone at undergraduate level 2 or 3 years. An estimated time on lecture videos would be 150 hours in total, but most of your time would be used to understand this material through exercises and studying, so add 4*150 to that and you have 750 hours of work before you would reach the stage of entering quantum mechanics. That's an incredible amount of studying time, which for someone your age is just not worth it spending.

[@dipashreeanddiksha573]

@@dter706 can i plz try? I want to learn. And also many many thanks for advising me. But I want to learn what my age students can't do. So plz don't be angry with me

[@rohitsingh555]

A humble request... Please make a full course video on the mathematics required for solving and understanding quantum chemistry....As a Biology student with only basic math knowledge it is quite important for me....

[@LT72884]

youll need to learn linear algebra, which is about 4 courses above calc 1. I had to take LA for my medical and aerosapce degree, not easy. If you look at the other videos this group has published, youll see that they have algebra, calc1, calc2, calc3, diff eq, and linear algegbra. take each one

[@deeprollingriver5820]

Math is a language I cannot speak well. So ideas and concepts, while sorely lacking in their ability to speak the language of physics more succinctly, is at least one small, step in helping me appreciate the complexity of QM

[@wb7ptr]

I'm having the same problem. Basic math here too although I would love to know a great deal more. The lecture is quite interesting.

[@LT72884]

@@wb7ptr start learning calculus and linear algebra:) i have the advantage over most. I have done 13 semesters of math

[@nekrolagnos7142]

You made a mistake at 53:15, since the real part of this complex number is not d-yc, neither the imaginary part is ixc, exactly because of the denominator being a complex number too. You must refer back to your previous page and check the real and imginary parts while your denominator is f^2+g^2. However, im a mathematician looking to learn QM and you explain really well so far.

[@astra9063]

it’s crazy that we can access a course on one of the most confusing topics their is in the universe

[@pins849]

It's even crazier that you want to access this video yet you don't know how to properly use there/their/they're

[@astra9063]

@@pins849 clearly a typing error, how motivated do you have to be to take time out of your day to correct such a mistake and not appreciate what i said. i assure you that your intellect is far lower then you believe it is to be.

[@iryne2003]

@@pins849 But why?

[@ImanIddin]

How is neuronal plasticity done ? Taking on new mental challenges. The mind is plastic ( changeable) for life. Yes happy to be living in this moment.

[@mr_X137-y3p]

This is really awesome .. thanks for providing full course just in one video

[@endogeny2867]

I'm literally doing a plastering course and this will absolutely go over my head but I love just consuming knowledge even if I don't understand it or remember it

[@Crimson_Stellar]

Learning this cuz Im bored :>

[@jimkirby1799]

Putting this to the theory of the atom, and it's electron(s) is the reason why there are subshells for each energy shell for the electrons to occupy.frequency increase gives the electrons an increased energy level subshell to occupy without having to change to a higher energy shell.

[@geenath53]

Just saw this today .... Great ... Will take time to go through the whole ... but I will do it in the coming days ..

[@anirudhadhote]

Hi Sir, I have a simple question. Inside a factory at the end of the shift a supervisor and his co-worker are counting the produced objects, the objects are approximately the size of a tennis ball. It is their daily routine,the worker counts the objects as he takes it from the production lot and puts it inside a bag. The role of the supervisor is to keep watch so that there is no mistake while counting. One fine day, before starting the counting process, the supervisor looks at the lot and writes down some random three digit number as quantity of the produced items, in short he assumes that the actual quantity would probably match with that number. Now the question is what are the chances of that actual quantity matching exactly with that random number?

[@River-River.]

This video is great it helps me to understand quantum physics THANKS!!!

[@QuantumFanBoy]

The course looks so interesting! Before I start, can someone tell me the prerequisites for this course? It will be highly appreciated!

[@chrissyday67]

Thorough understanding of types of Differential equations defintiely. if I can make a suggestion? why not just play it and every time there is something you don't quite follow, look up that topic, it may seem a little slower to do it that way but overall it may prove the best route to finishing the whole video.

[@QuantumFanBoy]

@@chrissyday67 Thank you so much! Great advice, will go for it!

[@thegoofiestgoooberr]

@@QuantumFanBoyI would recommend watching the playlist of lectures under the professor’s channel linked in the description. This video cuts lectures short, cutting out a lot of important information for some reason.

[@QuantumFanBoy]

@@thegoofiestgoooberr Yes, I found them. Thanks for the idea!

[@TheVoiceofLiterature]

This just showed up on my video and I was like - “F*#% it man, I’m gonna do this Quantum Mechanics course”. Props to the teacher

[@janahrenea3546]

same!

[@luckydesilva6733]

Thank you so much . Truly appreciate your kindness .

[@jimmyfaulkner1855]

Could you do another video like this but for special relativity and general relativity, thermodynamics and particle physics/nuclear physics? Thank you 😊

[@benpierce2202]

What beautiful explanations of an extremely complex topic. I like it that you don't rely on the formalism from the beginning. I've put myself through several QM "courses" from MIT, Stanford, etc., and found this to make the most sense from the beginning. At the beginning of the math explanation (part 4?), it would have been nice to know why we were going to do that; i.e., what is the purpose of rectangular/polar form of manipulating x, y, z, i, etc. around each other.

[@Dasher_The_Viral]

Thank you for being so incredible as to share your knowledge for free like this! ^~^

[@captainmystery4123]

I don't know why YT recommended this but i'm glad it did

[@helpmyblueballsarestuck-fh4gk]

👌 can't wait to learn 11 hour

[@CalamitousJonathan]

E=MC2 Energy equals mass converted twice. Understand that, then convert mass more than twice exponentially more into infinity with elctro-magnetism.

[@lalaland6183]

This is amazing! is there a separate video of the questions being worked out, or other practice problems??

[@matf1clips847]

Amazing course for final review of QM 1, thank you for this resource!

[@raziewazies1915]

A good video to relax after school

[@sandspar]

I know a guy who makes a very good salary as the head of a physics dept. at a global tech company that makes one specific instrument, he never went to school for anything related to physics, but knows everything about the physics package in this instrument and is properly placed. This same company has graduates that are inept. Life is funny, but the degree will open doors.