SOLVING the SCHRODINGER EQUATION | Quantum Physics by Parth G

[@ArvinAsh]

Excellent episode! Masterful explanation of a very difficult topic. Couldn't have done it better myself. I won't need to make a video on this topic, as I will just refer people to yours. Ha.

[@ParthGChannel]

Arvin you're a legend, thank you for such a wonderful compliment!

[@Me_549]

You're both great, I love watching your videos

[@tharaka6467]

😀

[@aflahpalara7217]

Finally here comes my favorite youtubers.

[@رضاشریعت]

Wait what arvin ash is here

[@michaelmccoll3204]

I think a combination of you and up and atom and 3 blue 1 brown doing a deep dive into quantum mechanics to possibly the best series ever created

[@anantapadmanabhmyatagiri]

Add some apostrophes to names bro

[@nickhopwood4233]

bro. that would be incredible

[@toadalmoji5853]

right, or he could just rise on his own since hes good enough to attempt that himself, and not have his efforts accredited to them

[@marcos1292]

+ArwinAsh

[@dhanashrikulkarni5878]

All my KZbin recommendations are videos made by Parth😁😁🤩

[@ParthGChannel]

Haha thank you so much for your support :D

[@genericallyentertaining]

You're brilliant. Clearest explanation of this I've seen. I love how you didn't really assume any prior knowledge and explained every step; this was just what I needed.

[@toadalmoji5853]

this was more than a clear explanation, he took the arrogant-physics-genius-higher-intelligence-explanation ingredient that's baked into learning physics, out

[@farhannoor3935]

Phys Major here, really glad you posted this. just shows whats up ahead for me in junior year. The walk-through was good, really. Makes one excited for their 1st QM course.

[@graememorrison333]

Wish we had a resource like this back in my day. We were chucked in straight at the deep end with heavy-duty bra-ket notation, operators and the rest of it. Needless to say, I never got a good qualitative understanding and grounding in of QM, and essentially had to blag my way through the remainder of my course.

[@bonelessbooks9263]

I’m in modern physics 2 and we deal with the Schrödinger equation all the time. This is the best and most concise explanation of the Schrödinger equation, boundary conditions, particle in a box, and quantization. Thank you!!

[@Lixmage]

You Sir are extremely talented. This is probably the clearest, most elegant description of solving the wave equation I have ever seen uploaded to KZbin. Congratulations!

[@Priyanka_7597]

This is one of my favourite channels! Tysm😭❤️

[@dhanashrikulkarni5878]

PARTH ROCKS LIKE ALWAYS!😎

[@localtitans4166]

U r from India I guess It's ur dream to be at NASA

[@Cosplayinghuman]

@@localtitans4166 LoL I think it's related to quantum physics not astronomy

[@v.gedace1519]

Studied Chemistry in the second half of the 80´s. Phyiscs and this topic was also part of it. We solved it for Hydrogen. It was really fun (no sarcasm). But still today (around + 35 years later) I could´nt get my head around the fact that time has to be eleminated / ignored in the first step. Seems to me that time does does not exists. Waiting for someone who figures out that the dimensions are curled one quantum level and that this is the reason why we experience time, the (non-force) effect of gravity, black matter and energy and strange things, like time bending, when "we go closer" to (massive) objects / black holes ... Pretty sure some one will find out that black holes are not singularities. Black holes are the oposite. Starting with the event of horiziont the dimension are so far "un-curled" (= straight) that (from our point of view) we could not "see" beyond our > 3 dimensions because at this point there are way more dimensions. So black holes aren´t holes they are the opposite, they are columns. lol . greek mythology came in my mind ... Didnt they say that the world is carried by Atlas and columns?

[@AstroBoy98]

3 years later and you're still saving people's asses.

[@mcrrocks897]

This is probably the most succinct and intuitive way I've heard the particle in a box explained :)

[@stevewhitt9109]

I have seen a lot of videos on the Schrodinger Equation, but this video brings them all full circle, 2 pi radians :) Lots of details, great job! A compliment from Mr Ash says it all.

[@ryanlyle9201]

I love how you explained the connection between quantization and the usage of radians in the mathematics. Professors and books tend to skip over those aspects assuming it's trivial. Thanks for the help!

[@30indrayudhdas28]

I like how you don't just explain how great is Schrodingers equation and But you really give them a feel of how Schrodingers equation actually work.great job👍👍

[@robertreynolds8679]

Hi Parth, I feel compelled to say what an absolutely BRILLIANT job you do in explaining each lesson. I have been a secondary teacher for some 40 or so years; I marvel are your style. You are a 'natural'. Whatever you do, don't change a thing.

[@davidwright8432]

Decades back, as part of an admissions procedure to a graduate physics course, i had to write a term-type paper on the Schrodinger wave equation. About which, as a humble pure mathematician, I knew nothing. It took me a week's hard work. If I could have seen your video, it'd have taken me a lazy afternoon! (Yes, my efforts persuaded the admissions committee!) I now always refer people to your videos if hey want a very clear explanation of basic (not the same as simple!) points in physics.Thanks, Parth - from all your happy customers!

[@AxelNielsen-vx4pw]

This was such a good explainer I could actually guess the next step and do all the maths myself!!!

[@a22258461]

omg I kind of understand Schrodinger Equation now after 3 year of reading .... thank you!

[@hedgehogchaser2494]

You just explained to me in 13 minutes what my prof couldn’t in two weeks. Please do a video just like this for the time-dependent Schrödinger equation.

[@dhickey5919]

Thank you, Parth. I remember struggling mightily with the purpose of studying trigonometry. What my instructors failed to mention was how essential it would be to understanding the nature of the universe.

[@amshumansharma5391]

i love this man, i waited from 9:00am (IST) till 9:30 pm (4:00pm UK time ) to watch his vids

[@ParthGChannel]

Thanks very much for your support!

[@حسابالدراسة-خ6ز]

You made it look easier than what I thought, thx for the effort!

[@SagesseValdesDongmoVoufo]

thanks a lot. I'm a computer scientist and haven't studied physics for 7 years. but everything was explained so well that I was able to understand.

[@davidcoorey423]

You're a great communicator! Very digestible presentation.

[@AngelTorres-cc6cp]

Extremely lucid discussion on an otherwise unwieldy topic, thank you Parth G! Also your footnotes are hilarious 👍👍👍

[@bibhuprasadmahananda6986]

At school my teachers never told me how to solve the equation..... Thanks for this video..... ❤️

[@safwanshahriar4108]

I mean, that's not what they're supposed to teach you in school anyways.

[@WilliamEllison]

"x + y = z." The equation "x + y = z" is a simple algebraic equation. To solve for one of the variables, you'll need to isolate it on one side of the equation by subtracting or adding the same value to both sides. For example, if you want to solve for x, you would subtract y from both sides: x + y = z y - y x = z - y So now you know that x = z - y. You can plug in any values you have for z and y to find the corresponding value of x. I hope this helps. Yes, it can be challenging for teachers to manage students who do not study or listen in class.

[@FractalWoman]

You are the best at explaining such complicated topics. I can almost pretend that I understand what you are talking about. In other words, the probability that I can understand this stuff when I watch your videos is very high.

[@AkshaTGA]

Me after studying atomic physics in high school:

[@ArifHossain-ou9oe]

Same here,After Studying Atomic Structure of 11th Grade

[@Aahaanrai7010]

Which country r u from bro ​@@ArifHossain-ou9oe

[@l5776]

​@@Aahaanrai7010 from India ig. We have atomic structure in class 11

[@motonationarmy9083]

This is the absolute best explanation of solving this equation! Thank you so much and I will be referring to this in my upper level physics classes for my major ☺️

[@rock3tcatU233]

This is the best explanation on the basics of the SE I've come across.

[@adityanandamrit531]

Best Physics explanaior and the best KZbin channel for Physics in whole KZbin .

[@AnthonyDavid59]

Loved your patient description of what happens "at the walls". It leads naturally to the periodic solutions.

[@jbragg33]

Really nicely explained, thank you. Just a little technicality at the end when you said that the wave function "is the probability", it's not actually : the wave function is the probability amplitude, the squared modulus is the probability density, and the squared modules times "dx" (or d^N.r N being the dimension) is the actual probability.

[@mychmose]

Parth , you are the best Physics "explainerer’ on the web! I need to watch all your videos now.

[@semmering1]

Sir, you are getting better and better each lesson.. Thank you so much!

[@MetalJesusRocks]

Love your videos dude! 🤘

[@mrdr4934]

Is this why electrons fall into specific energy levels, due to their wave functions having discrete energies?

[@wayneyadams]

Exactly. In simplistic terms, the most probable locations of the electrons are like three dimensional standing waves. The first energy level has only one type of region, called an s-orbital, which is essentially spherical. The second energy level allows for both the s-orbital and a more complex set of regions called p-orbitals. Remember that these are regions of space where the probability of finding the electron is high, not absolute boundaries.

[@mrdr4934]

@@wayneyadams Very intersting, thank you

[@helmutalexanderrubiowilson6835]

This is why some scientists have the theory that we leave in a matrix. Because the only way to simule our universe is quantizing energy it means the most basic form of energy in the universe have finite states.

[@dwivedys]

You’re absolutely unbelievably knowledgeable!

[@cliffordwilliams9597]

Taking quantum mechanics this quarter, so excited!

[@mobizoid2571]

Ohhh!!! Love it... This video made more sense because I just studied the chapter Waves, so I could relate quantization to the overtones or harmonics in waves that are restrained between two walls.

[@DrDeuteron]

but a wave on a guitar string doesn't have a definite frequency.

[@mobizoid2571]

See a wave restrained has a minimum frequency which we call the fundamental frequency as if we draw the displacement curve we see that the wavelength λ is related to the length as λ/2 = L So the fundamental frequency would be f = v/2L I was referring that.😊

[@DrDeuteron]

@@mobizoid2571 right, but at 10:50 Parth says the particle can only have specific energies, and then look at the guitar string: it doesn't have a specific frequency. Instead it's a mix of many from a series. Explain.

[@mobizoid2571]

@@DrDeuteron yeah so... At first wasn't actually relating a wave to a guitar wave right? Sir, you mentioned a guitar which I guess you have used a guitar before... So I am trying to mould my explanation into you example... Let's consider this case... It's a hypothetical guitar... Forget the sweet sounds that an actual guitar makes... Think theoretically, suppose you give the guitar so little energy that It only has one anti-node between the endings (i.e.nodes) this is the fundamental energy, you can not go lower than this, Now the difference between energies of a guitar string owing to the large length are so less that we may not be able to notice it... However after having a wave frequency of v/2l we physically cannot have a frequency of 3v/4l for that particular string... We have to have v/l which is the second harmonic right? However the length of the string is soo high and the mass per unit length is soo low that the energy difference is not noticed however we cannot cease it's existence also I am talking about one string not combination of different strings vibrating. 😊

[@dhritimanroyghatak2408]

@@DrDeuteron Actually mobizoid analogy is very accurate to the particle in a box scenario. A guitar string fixed at both ends similarly to particle to a box cannot oscillate at any frequency infact the length of the string and the two fixed ends constraints the string to produce standing waves of Harmonics only (Either odd or even) which is similar to the particle in a box scenario. But here the reasons are due to the quantum nature of the particle and there they are due to waves interference pattern. Infact normal audio waves and other signals (which are described in waves) also exhibit Heisenberg's uncertainity principal through the fourier transforms. So actually the wave analogy was fiting.

[@Agent_Foxtrot]

How the Schrodinger Equation is actually used is a concept that always escaped me until now. Thank you for a fantastic explanation as well as for not shying away from more advanced concepts like derivatives and radians. Subscribed.

[@srijanraman4361]

Woah....this was amazing There's a request: can you make a detailed video on DIRAC HOLE THEORY??

[@andrewjarvis4074]

Hey man thanks for the videos, you describe these in a simple comprehensive way. Sometimes I have a hard time describing some of the stuff to people. Because as you know it can get very convoluted. I like your videos Man.

[@haneeshwarreddy8116]

Your Videos are by far the best Physics Videos out there mate!! Ur vids are the main ones which pop up in my recommendations Thx a lot!!

[@abenezersida8618]

This video is a must for someone who just started learning the Schrodinger equations. Amazing explanation

[@neutrino137]

This channel is on a whole new level 🙏 Hats off to you sir.

[@jeffreyboyd2470]

I apologize for my comments (immediately below) from yesterday. I was 100% wrong. It is clear that "a" is the right hand boundary of the box. Your videos are fabulous.

[@helmutalexanderrubiowilson6835]

You are a great teacher!!. This is the best introduction to solve the schordinger equation anyone can find. It amazes me how brillant was schrodinger in oder to write this elegant equation that is hable to describe an infinite number of possible scenarios.

[@schmetterling4477]

You mean just like the probability of roughly 1/6 describes the likelihood of a particular outcome of a dice throw? What's amazing about that? The probability distribution doesn't tell you anything specific about the dice and their dynamics.

[@helmutalexanderrubiowilson6835]

@@schmetterling4477 really? so schrodinger didn't do anything special for you?

[@schmetterling4477]

@@helmutalexanderrubiowilson6835 Not all that much. He came up with an unphysical equation that is one step above Bohr's model of the atom. The real theory is quantum field theory.

[@dannythekid100]

Bro, I took 3 quantum mechanics classes, and you explained everything far better in 13 minutes.

[@shama_k2604]

I badly want to know how did you gain such a conceptual initiative understanding of all different areas in physics in the first place!! Please make a video on how to understand physics like you!!! Kudos 🙏🙏

[@wayneyadams]

It takes hard work, a lot of study time, and good teachers. Most importantly, remember that physics is not just a set of equations to be solved, it is the study of the real world, and each equation tells one something about an aspect of it. I always tried to teach my students the concepts behind the equations before teaching the equations. Understanding the concept is a powerful tool because it allows you to not only recreate equations as you need them (effectively making them intuitive), but give you an insight into the beauty of the processes that govern the real world.

[@woolofmana8644]

@@wayneyadams Physics sounds easy when you have to solve differentitation and integration questions since childhood along with other maths problems, its a trend in Indian families, they make there kids do that and anyone with weak maths is automatically considered dumb and a faliure, not much is expected out of them, the mission of every indian child since birth is to crack Neet or IIT's so you have to either be very good at maths and physics or chemistry and biology and with the amount of population we have, its literally a cut throat competition hence parents start preparing kids since childhood cause ending in an IIT and good Medical college means massive wealth and social respect.

[@vikramantin3995]

Thanks a bunch! You made it comprehensible enough for a non-physicist layman.

[@WestOfEarth]

I can't believe I actually understood that. Amazing teacher!

[@dhanashrikulkarni5878]

Parth you are really a physicist........ Just take our lecture the next Tuesday!😎

[@zeabgc5032]

Very brief explanation THANKS ...!! please dirac equation next ?

[@iam_anand]

I am addicted to physics and this channel ❤️❤️

[@sujeetiitd]

Excellent! I am trying to correlate this with the Standing waves - we see the nodes (and antinodes) at specific frequencies. I am trying to make a toy for my kids, with electric motors at the ends of a string, wiggling it to form a standing wave. The potential difference across the motors (which directly corresponds to the energy of the particles of the string) and the RPM of the synchronized motors (which directly correspond to the frequency of the wave) are in quantized values for the multiples of the nodes to form.

[@WilliamEllison]

Yes, the correlation between the Schrödinger equation and standing waves is related to the quantization of energy levels. In the case of a string, the standing wave pattern forms at specific frequencies, with nodes and antinodes corresponding to specific energy levels. By adjusting the RPM of the motors, you can control the frequency of the wave and therefore the energy levels of the particles in the string. This relationship between energy and frequency is governed by the Schrödinger equation. In your toy, the potential difference across the motors represents the energy of the particles, and the RPM of the motors represents the frequency of the wave, both of which are quantized for the formation of standing waves. Please send your Toy to me in the mail. lol

[@Dhanika112]

Best video on youtube on Schrodinger eqn❤

[@Prashanth-yn9zd]

I just discovered this channel. I feel like i have to watch all his old videos from scratch now!

[@clebergsouza2545]

I wish I could give more than one like to your video, man. Awesome result, you are an amazing teacher.

[@lisakowalski9175]

You do such a great job with concepts. And I don't know anyone who communicates "the joy of physics" better. Kudos Parth!

[@mrfinesse]

Thanks Parth - I always wanted to understand how to solve the SE, now you made it easy to understand.

[@walterufsc]

Congratulations. The video is excellent. I would just like to make a comment: it is preferable to say that the wave function allows calculating the probability of finding the particle in a "region", and not at a "point". in fact, for a wavefunction that is not shaped like a Dirac's delta, the probability of finding the particle at a specific point is always zero. Your videos are always very good.

[@shubhankartiwari5101]

I'm eagerly waiting for your video on Bose Einstein condensate 😀 By the way I've not seen the video yet but I can surely say that it will be wonderful 😊❤️

[@fortytwo5357]

Beautiful explanation!! The step-by-step development of the theory is really awesome!

[@strikeblade6669]

Finally understand why an electron can't fall into the nucleus, but plz provide some mathematical solutions/solving

[@JustMoseyinAround]

*As always, an incredible explanation. You simplified a complex looking expression. Great job.*

[@robertschlesinger1342]

Excellent video. Very interesting, informative and worthwhile video.

[@Redant1Redant]

Parth - love your videos! You are a gifted teacher. TOPIC SUGGESTION - please show us how symmetry is really used by physic to manipulate an equation or limit the scope of alternative answers to an equation. There are tons of videos "explaining" symmetry as something "symmetrical" but not on how symmetry comes into play in the way physicists use symmetry in calculated expected values, or solve equations, etc.

[@erenozaydin5656]

Sir, this was nothing short of genius

[@zeropotential6830]

sir thank you.In this semester i'm studying Solid state Physics. But i didn't complete QM. but A little bit QM is needed for SSP. that's why i need to understand Schrodinger equation. And your video was too much helpful.

[@hannahlorraine4468]

This was extremely helpful! I’m a junior physics major and I’m taking my qualification exam tomorrow to be allowed to write a thesis in physics, and this is a really helpful explanation and refresher for the quantum mechanics part of the exam

[@exo-580]

finally the mystery was solved,for me it was weird how the orbitals came to exist but ha now i see.THANKS PARVTHLOGS CHANNEL

[@HussainKhan-sj6ik]

This person is really genius

[@SupiSiki]

Thanks for this video. Well done! Will be back for additional videos going deeper!

[@rolandsmith7758]

I finally understand normalization. Thank you

[@jamesraymond1158]

Wonderful. I wish I had this in 1968 when I took quantum physics. I was hoping you would arrive at a psi as a complex number to help explain how S's eqn gives complex number solutions

[@wayneyadams]

Remember that second order differential equations also have exponential solutions in powers of i (imaginary number). He could have solved the equation that way, but using sine makes it easier to visualize and understand the solution, because we can all understand what a sine curve looks like. If you want an exponential just use this definition of sin. sin(x) = 1/2i (e^ix - e^-ix)

[@PriyanshuSingh-uo6dr]

I have no clue why was this in my news feed, watched it anyways, gj on this one, subbed

[@sakibchowdhury4747]

The amount of effort in this video my gosh

[@muddassirghoorun4322]

Great video! Amazing job. The world needs more of these explanations.

[@buddydiamond8736]

I wish you were my Quantum Physics teacher... my teacher is an old guy getting ready to retire and doesn't care at all, I have to watch your videos to actually learn what he attempts to present in the class.

[@Morgyborgyblob]

I wish I'd had you as a lecturer 20+ years ago.

[@asifalamgir5135]

Good job with the timestamps your video gave me an MIT ad!!! Amazing!

[@rbettsx]

You're so good at this. I would love to see something like this that really explains how the wave-finction is related to the vectors in state-space

[@schmetterling4477]

The wave function describes the behavior of an infinite number of repetitions of the same experiment, while a state describes the actual measured behavior of one experiment. Think of the wave function as an entity similar to a probability distribution. The probability distribution can't tell us what number an individual dice throw will generate, but it can tell us that, on average, all numbers will be equally likely.

[@saketrane8295]

I hv been trying to understand this part of the griffiths book for so long but cudnt get it, But today my man, you hv taught me this concept so thank you.

[@thejuniorastrophysicist]

Hey Parth! The equation was explained in simple terms and the wavefunction was explained beautifully. Can you make a video on the shape of the universe? Λ>1, Λ=0, Λ

[@ll4ves457]

Great, high quality video. Big thanks from an intro to quantum student

[@ΜΙΧΑΗΛΚΑΤΤΗΣ]

I think that this is your best video that i have watched

[@meetthakor4019]

Please do this type of solution do for 2D and 3D potential case also.. For time independent and dependent. By the way good explain 🙏

[@cvnarayanan3805]

brilliant explanation . liked every video. worth the time spent

[@active285]

The visual approach is very appealing, thanks! A little remark: The guy was called Erwin SchrÖdinger, not "Schrodinger" ;). An ö ≠ o, completely different letter.

[@UsamaThakurr]

When I see these explaination about differential equations and plotting of functions it gives me chills and most importantly giving me an idea on how I should see an equation not in terms of numbers but in the terms of abstract living beings that can talk to us 🙏 thank you and would love to give you a video suggestion on how can we know that schrodinger or even Euler why should we believe them? Something like that would get so many people's attention to the world of mathematics.

[@ashrafrahman6873]

Best explanation so far 🙏 Thank you so much

[@ismailfadul6759]

That’s great video you make everything easier to understand thank you brother. Would you please do Fourier transform ?

[@admiralhyperspace0015]

Such an awesome explanation. Keep em coming. You got a sub from a physics major who already knew the solution.

[@vulpecula182]

Oh can u give me advices on how to major In physics (& how to understand it easily) 😊

[@vishalmishra3046]

@Parth, please make a video on solving the Schrodinger equation for Helium atom. This should also be ideally simple (guessing here) since both electrons are in the same 1s2 orbital (spherically symmetric probability region). Thanks.

[@vanshchandarana1084]

very nice explanation. Taught much better than my iit bombay prof

[@drandrewsanchez]

"Solid ass walls." I love it. Great videos 🤓👍

[@bikashsahu4809]

Plzz complete whole quantum mechanics u r superb

[@DreamWorker-jm5xn]

Excellent explanation! Thanks for sharing

[@henmeenoomai5219]

Nice and clean explaination!