Schrodinger Equation. Get the Deepest Understanding.

[@fufaev-alexander]

eBook: en.fufaev.org/physics-equations-book Paperback: tinyurl.com/physics-paperback Hardcover: tinyurl.com/physics-hardcover

[@RegiJatekokMagazin]

"This function is like when you have more time to do something, you can procrastinate, so you have the initial motivation, then for some reason you cant finish, you have some other chance to do so other days, but lower peeks, but after a while you must finish when no more time left." PT. Why would someone think otherwise, if you can aim for minimum energy consumption?

[@FuzzyFirechu]

I literally just passed my undergrad quantum mechanics course last week, why couldn't youtube recommend it to me earlier! This was so insightful and well put together, I loved it

[@nikhilchouhan1802]

This is the best video available on KZbin explaining the Schrödinger equation. PERIOD I am a student, and I don't have money right now, but if I had I would have donated whatever you demanded without any thought whatsoever. I can't let it sink in how easy you made this look. My profs explained the same thing, taking multiple lectures but weren't 1 percent close to your explanation. Thanks a lot mate, hope you do well in your life. My best wishes with you!

[@lepidoptera9337]

And there is either A) the SEO bot or B) the student who hasn't found the library, yet. :-)

[@tanvirfarhan5585]

This was...far beyond what i expected. You could have gotten away with much, much less of an effort without any pushback. Instead, we are left with this... An absolutely beautiful, visually pleasing, simple yet concise explanations which work hand in hand with the animations to bring us an intuitive, entry-level walk-through of the schrodinger's eqation I'm honestly awe struck. I can confidently say this is easily one of the best videos on quantum mechanics I have yet had the privilege to enjoy here on KZbin. (and I watch nothing but science and physics docs on KZbin etc) What an absolutely superb masterpiece, what an incredibly engaging tool which undoubtedly will benefit thousands and thousands of inquisitive minds. Thank you so much for being responsible for this labor of love. It truly shows your passion for your field, and hoo boy what a treat the whole video was. It is insanely rare that animations , live explanations, and facts all come together so brilliant and organicly organized in such a way that the end product comes together to create something much, much greater than each part on it's own. What an honor

[@fufaev-alexander]

WOW, thank you for this motivating comment!

[@p.m.rangarajan1055]

I keep on seeing videos on derivation, explanation and application of Schrodinger's Equation. Every single video casts an understanding only to be forgotten in a while. Trust this video remains as a benchmark on S.E., as the explanation is downright fundamental. A very good video.

[@4pharaoh]

I am shocked with how clearly you have presented this information. Fantastic job.

[@fufaev-alexander]

Thank you very much, 4pharaoh! 🙂

[@adambaird8352]

Sometimes it makes me question why I'm paying for a degree when I learn the most from free KZbin videos anyways

[@MS-sv1tr]

You need the degree to get the job. College is about 2 things: Credentialing and networking. Whether or not you actually get educated it a tertiary concern.

[@JessieAllen-r6m]

I agree with you. System needs to be changed.

[@JamesVestal-dz5qm]

You pay for a degree so the experts can understand your thinking and author your curriculum.

[@dennisestenson7820]

Paying for the degree motivates you to learn it from KZbin. Would you be watching this for fun?

[@TJ-hs1qm]

@@dennisestenson7820 yes, if a degree is you main motivation for doing physics, maybe spending your valuable life time doing something else would be a better advice.

[@aryanbhure5]

Amazing. I am a Engineering Physics student, and this is the most rich detailed and clear video I found so far on schrodinger .Hats off the great explanation!

[@theQuantumPenguin]

The title does not lie!. Excellent presentation. Many concepts of math and physics are connected visually and verbally. I very much appreciated the naming of all the greek symbols and the explanations of conventional use. Very well done.

[@fufaev-alexander]

Thank you for your positive feedback! That motivates me! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin

[@hgtrad7655]

Your explanation has increased my understanding of Schrodinger Equation and Heisenberg uncertainty. Thank you.

[@fufaev-alexander]

Awesome!

[@charleschidsey2831]

Possibly the best and certainly the clearest explanation of the Schrödinger equation I have encountered. Strong work! You earned my sub. Look forward to more posts in the future. Thanks so very much.

[@wentianxiang1155]

The best one to explain the Schrodinger equation. Thank you.

[@fredrickenaso2674]

Best, simple, concise explanation... keep up the good work of helping students like me🙏

[@SergeyPopach]

This is the best ever explanation I found so far! Great job, Aleksander!

[@kanwaljitsingh3248]

You deserve a nobel Prize in explaing things

[@jakeadams2562]

This is the first time I have been able to grasp what the mathematics of quantum mechanics are actually describing, thank you!

[@differentialxp]

I'm studying engineering and even though I'm not familiar with some of the more modern physics I understood the maths very. You just basically applied all the maths from calc 1 to calc 3/4. I was even pleasently suprised to see seperation of variables used outside of our engineering contexts. Brilliant!

[@kobbyobeng9555]

Incredible, it was so abstract to me at first but now quite simplified. I am so elated

[@memsuniverse]

great explanation, for a long time Schrodinger Equation was a black hole for me , until I came across this video and I had a real test of it, I am very thankful to you. great work keep it up

[@anthonyololo4081]

You did a fantastic presentation here. Thank you so much.

[@understrings1]

If I could follow, so you are a good teacher. Even with very little background in math I could follow the explanation. Well done. 🥰

[@frankharvey1318]

best description i've seen. great job. i'm going to _crawl_ thru all your steps.

[@ivansossa6601]

Thankyou so much. You explained this 100x better than my professor. I am so relieved that it is not as complicated as he made it seem. Legend.

[@fufaev-alexander]

Hey Ivan, yeah I feel you😁

[@roncho]

Flawless explantion of such a complex topic. You are a gifted professor

[@yasinhosgor4403]

Another perfect video, great effort 👍 Looking forward to see next one

[@spal3907]

so good seems like schrodinger himself explained with modern understanding incorporated 🥰🥰🥰

[@fufaev-alexander]

haha, thank you 😄

[@arlesterchristian8805]

Thanks for this great video. And all the others you have posted. Very much appreciate the amount of time it must have taken. One suggestion - if you have not produced a video on gauge symmetry/gauge invariance - didn't find one - please give a thought to doing so. It is a very difficult topic and I have not found anything as clear on the subject as this and your other videos. You would be doing a lot of us a great favor by creating such a video. Thanks in advance for considering the suggestion.

[@hydropage2855]

One of my favorite videos of all time

[@fufaev-alexander]

oh wow, thank you very much! 🌻

[@david203]

I was hoping to see the analysis include Bohmian mechanics, where the Schrödinger equation is treated as a force acting on an isolated particle in an experiment. Add only the initial position of the particle and then you know the entire trajectory of the particle throughout the experiment. The Schrödinger equation acts as a nonlocal force, meaning a force that depends on the entire geometry of the experiment. In the case of the double-slit experiment, this force would change depending on whether the distant slit is open or closed, explaining the difference in what is seen and measured in the experiment: either a band of light or a diffraction pattern. However, the particle trajectories would always be deterministic, regardless of the experimental geometry. You could measure/observe two distinct families of trajectories, depending on whether the distant slit is open or closed. This experiment has been done several times, using low-energy (also called non-demolition) measurement, and the predicted trajectories have been verified. In this way the Born Rule (the probability density interpretation of the wave function) can be derived, instead of being taken as an axiom of the Copenhagen Interpretation.

[@vaishnavipal2298]

That's like the building blocks of Schrodinger equation n Quantum Mechanics in a nutshell. Kudos to the creator, the presentation of the concepts is amazing, it's easy to grasp, absorbing and finally feels intuitive. Great work!

[@fufaev-alexander]

Hey Vaishnavi, thank you very much for your positive feedback! 🤩

[@davidrosas2277]

So beautifully explained, so elegantly elaborated… and yet I still don’t grasp it entirely… keep posting bro!

[@hqs9585]

Amazing video, clear, thorough and simply GREAT! Best lecture on this equation I have ever seen and I have advanced degree in the subject. Thanks.

[@leonwang3072]

Best vid on Schrodinger's Equation!

[@vodimizoc]

Fantastically clear and well paced. The animations are very meaningful. Much past learning fell into place during this video.

[@fufaev-alexander]

Thank you!

[@TJ-hs1qm]

frequency f describes how often I'll witness an event per unit time, it describes how the wave behaves in time. the wavenumber k describes how far in terms of 2pi (or 360°) do I have to walk to reach the same location in the wave, e.g. from crest to crest, it describes how the wave behaves in space.

[@pong336]

Thank you for this marvellous explanation of the Schrödinger Equation!

[@fufaev-alexander]

Thank you!

[@sh0ejin]

thanks man! You’re a gem, I shared your channel with my friends (they’re not as enthusiastic but we liked your videos a lot). While your videos aren’t all encompassing (which is a good thing IMO, as they motivate me in the right direction) they’re very clear and with them as background I get a lot of studying done. I am grateful to you bro

[@fufaev-alexander]

Hey Goshujin, thank you for a very motivating comment and sharing the video. It was a great pleasure for me!

[@misham6547]

Thank you so much, I didn't understand this at all while in my quantum mechanics class!

[@douglas5260]

thanks man. When your channel gets discovered by the algorithm, you'll explode.

[@f1r3fox235]

Wow thank you, finally i understand the Schrödinger equation!

[@Mikey-mike]

Well done. You are an excellent teacher.

[@fufaev-alexander]

Wow, thank you very much! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin

[@mohammedazam74]

The most excellent video I've found in KZbin for quantum mechanics.

[@fufaev-alexander]

Thank you! Check out my physics website: universaldenker.org :)

[@haniamritdas4725]

Amazingly clear presentation. Many thanks!

[@fufaev-alexander]

Thank you, feel free to take part in the polls for the next video topics

[@HHHeiko69]

Very very good. The best video about this topic I found so far.

[@michellehu8264]

Very good explanation of schrodinger equation mathematically

[@sdsa007]

THANK YOU! I l am very grateful for how you connected the dots for me between curvature, oscillation, normalization and quantization. Very Great Teaching!

[@fufaev-alexander]

Thank you Steve!

[@epriyblas]

T'han you very much for this straightforward, simple, intuitive and connected to reality video... i'm taking a coure following the famous David Griffith introduction to quantum mechanics... the book shows the mathematics behind theory, but it totally lacus what i've found in this video. I learnt more in 50 minuts t'han in to weeks of mathematics país.. alhora i think both are necesary... Thanks a lot for your wonderful intuitive yet seriós and exhaustive vídeos!!

[@Mortgageman145]

Heisenberg’s uncertainty principle is h-bar over 2 not h-bar. But then again, I can’t be certain

[@Sunya_se_anant000]

A small question: Why we multiply plane wave with Total energy at 14:00...What will be its physical significance... Thanks in advance.. And also thanks for making such a informative video.

[@craigfowler7098]

Learnt more in this video than I did in quantum mechanics course

[@fufaev-alexander]

Oh yes, I feel you! 😁 Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin

[@emin5124]

This video is awesome. The best physic video I ever watched. I was afraid that I wouldn't understand Schrödinger equations and I was thinking that it so complex and complicated. However, after watching this video, I've been officially enlightened. I am very happy to understand. Also, I'm looking forward to the 🤩Dirac equation 🤩 video. I want to understand very well the Dirac Equation. Thank you so much.

[@user-82086]

Thank you very much!It helps a lot!

[@stevenzucker2251]

The visual explanation of the equation helps greatly in the understanding and analysis of the equation. Highly recommended!!

[@fufaev-alexander]

Thank you!

[@Ruben-fc7oy]

en la universidad vi un curso de mecanica cuantica y no entendi nada. en cambio ahora viendo este video lo entiendo todo. muy buena presentacion.

[@fufaev-alexander]

¡Muchas gracias! ¡Que la Física te acompañe!

[@TJ-hs1qm]

3:38 since mass m doesn't change neither with time, direction or position, it's important to understand why ∆x∆p and not just ∆x∆v. The presence of mass in the uncertainty principle allows the transition to classical behavior for macroscopic objects. When the mass is large, the uncertainty in velocity (∆v) can be small, allowing for a very precise measurement of position (∆x -> 0) and vice versa Mass is neither time or location dependent but it makes a difference in QM in terms of the wavelength e.g. of the earth vs. an electron.

[@Blaisem]

Nice note

[@lepidoptera9337]

@@Blaisem Also completely false. That transition to "classical behavior" doesn't happen because of the uncertainty relation. It happens because of continuous weak measurement.

[@Blaisem]

@@lepidoptera9337 What is a weak measurement?

[@lepidoptera9337]

@@Blaisem An example of a weak measurement would be if we don't absorb the entire energy of the system. For individual quanta that is a small angle scattering process (Mott problem), for macroscopic systems with macroscopic angular momentum it's the exchange of individual quanta with spin 1/2 or spin 1 with the environment. Heisenberg and Mott had this kind of figured out around the 1927/1929 time frame, but it seems that it is still virtually unknown among professors who are tasked with teaching QM 101 classes to undergrads, so we are still getting those nonsensical ad-hoc "let h_bar go to zero" and "classical physics arises from ensemble averages" handwaves in introductory courses. That lore then gets repeated by every student who lacks the will to actually read the early papers and modern textbooks on the topic. It's a shame, really, because historically this was basically established correctly at the same time as the Copenhagen interpretation.

[@jaseemajasmin5296]

Thankyou sir❤....this is just awesome... concept is crystal clear..keep going

[@fufaev-alexander]

I will! Thank you very much for your positive feedback!

[@rwd420]

Fantastic video, thank you very much for sharing with us!

[@desolation0012]

Thank so much for helping me understand this topic!

[@fufaev-alexander]

Thank you for the kind comment! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin

[@matheuspereiracoutinho7953]

Just a little point. In the example of a particle confined between the plates of a plane capacitor the wavefunction cannot be a plane wave because the particle aren't free in that region, there are a potential energy due to capacitor. Besides that your videos are amazing and i love it

[@yinyiwang]

Very narrated and explained!

[@15837pawimomo]

Wonderful explanation

[@JohnnyGuitar1]

What an incredibly good teacher! Thank you so much. Subscribed.

[@fufaev-alexander]

Thank you!

[@mlbelem]

Congrats for your outstand work and easy way of explain things🎯🎯🎯

[@kangeroosh]

Absolutely amazing explanation. So detailed!

[@fufaev-alexander]

Thank you very much!

[@hellium8]

Amazingly concise and logical presentation!

[@dantefedeli9244]

EXCELLENT EXPLANATION !!!!

[@fufaev-alexander]

Thank you! Would be happy if you subscribe to my channel!

[@dantefedeli9244]

@@fufaev-alexander I'VE ALREADY DONE!

[@vesna-wc9lo]

Excellent explanations!! Thank you very much

[@camelectric]

This is AWESOME!

[@billmichae]

Masterful presentation.

[@fufaev-alexander]

Thank you!!

[@anikakapur1460]

You are a literal god

[@quarterbells]

I can’t believe people came up with such a genius understanding of things. It’s miraculous. And as an artist, it’s all here: consciousness, musical harmony, etc…. hidden in the imaginary part of the complex notation or the plane wave. We can’t get to it, or wrap our heads around it at this point, but it’s all there. You can feel it. We don’t understand how yet, but we all understand: it’s extremely useful AND extremely beautiful

[@isaamthalhath4359]

Bro has a PhD in yapping

[@quarterbells]

@@isaamthalhath4359 pretty much!

[@hankieu5209]

Thanks a lot for such an amazing video!!!!

[@fufaev-alexander]

Thank you, Han! #### Want more videos? #### As a channel member you have many cool benefits: ✅ Unlock ALL Physics Videos ✅ Channel Badges For Your Nickname ✅ Unique Channel Emojis ✅ Your Vote Counts 10x in Polls ✅ Immortalization in the Hall of Fame ✅ And that's not all! CLICK -> kzbin.infojoin

[@ShujaWaras-nn4fw]

Thank you for making this video .

[@TeamHarrisonMachine]

GREAT VIDEO!!! Thank you!!

[@ahmdkalef2252]

Great explanation if not the best. Thank you so much and hope to see more mathematical explanation of quantum mechanics concepts. You make things looks simple and easy to understand .

[@fufaev-alexander]

Thank you very much! Sure, I will produce more videos! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin

[@tfs711]

Your videos are true gem. Best delivery way... just WOW!!!

[@fufaev-alexander]

WOW, Thank you! :) Please checkout my new physics website: en.universaldenker.org/

[@fufaev-alexander]

Thank you!

[@michaeltamajong2988]

-grad(U)=ma does not capture all of Newton's second law. Not all forces may be conservative. (just for more rigor)

[@mle-iu5zm]

A force is just a grad of a physical potential. So the équation it’s « very « right.

[@anirbandey6206]

Yeah it was genuinely helpgul

[@Sarrrraah]

Great vid with detailed explanation....thaaaaaanks

[@fufaev-alexander]

Thank you Sara! Please check out my new physics website: en.universaldenker.org/ (There's not much content there yet, but I'll add new content over time).

[@theodoroskoudounas1395]

Excellent presentation

[@maddyv5660]

Very well presented.

[@fufaev-alexander]

Thank you!

[@amanbajracharya7403]

thanks...cleared so many doubts

[@t_sixtyfivex_wing8787]

Thank you so much 💕

[@enchiridionv01d]

Best video i have seen,Can you make a video about Dirac equation?

[@DennisKorolevych]

This is beautiful!

[@nigelholmes1030]

Thank you. Excellent work. Very clear explanations.

[@fufaev-alexander]

Thank you!

[@GoogleUser-ee8ro]

This video is so very helpful

[@fufaev-alexander]

Thank you

[@ChangOhKim]

Thank you..! You did really good work.!

[@fufaev-alexander]

Thank you!

[@paulstanton4604]

Thanks for the video. This is very helpful.

[@fufaev-alexander]

Thank you!

[@TheGlobaltheory]

Very nice and understandable to everyone. The animations of the formulas in which program are designed? Thanks for the reply.

[@fufaev-alexander]

Thank you. I made it in Adobe Premiere

[@SampleroftheMultiverse]

Is anyone familiar with Euler’s or anyone else studying this variation of Euler’s contain column studies? The video and white paper describes the mechanical properties related my unique variation of Euler’s Contain Column studies. It shows how materials (representing fields) naturally respond to induced stresses in a “quantized“ manor. This process, unlike harmonic oscillators can lead to formation of stable structures. The quantized responses closely models the behaviors known as the Quantum Wave Function as described in modern physics. The effect has been used to make light weight structures and shock mitigating/recoiled reduction systems. The model shows the known requirement of exponential load increase and the here-to-for unknown collapse of resistance during transition, leading to the very fast jump to the next energy levels. kzbin.info/www/bejne/raOlpKSfepWpfZYsi=waT8lY2iX-wJdjO3

[@kka107]

Looking forward to your video on Dirac equation

[@fufaev-alexander]

Ich werde es bei der nächsten Umfrage als Thema aufzählen! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: kzbin.infocommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: kzbin.infojoin

[@david203]

The reply was: "I'll list it as a topic in the next poll!" In other words, he's probably not going to talk about the Dirac equation.

[@sergiolucas38]

Great video, thanks :)

[@fufaev-alexander]

Thank you very much!

[@mdmahmudulhassan3370]

Thank you for your video; it was extremely informative, well-explained, and presented in a clear and organized manner.

[@WildGamez]

Very clear, concise and detailed. I would love to see this channel grow. Keep up the EXCELLENT work of teaching difficult concepts digitally and explaining reasonably so that most can understand! PERFECT. I am subscribed. I recently started to donate every month on your website. How can I navigate how much I donate etc. on your website?

[@fufaev-alexander]

Thank you very much for your donation! Unfortunately I don't have that much time (youtube is just my hobby); but I will definitely try to produce more videos!

[@casmajd2394]

Just beautiful and comprehensive.

[@fufaev-alexander]

Thank you! :)

[@60pluscrazy]

Amazing explanation 👌

[@fufaev-alexander]

Thank you!

[@diraceq]

thank you so much. I love the video

[@StefPet]

Pure magic.. Can smell colors now... xD

[@dilloncrace1640]

Absolutely amazing