Schrodinger Equation. Get the Deepest Understanding.

00:00 What is a partial second-order DEQ?
00:58 Classical Mechanics vs. Quantum Mechanics
04:27 Applications
05:14 Derivation of the time-independent Schrodinger equation (1d)
17:14 Squared magnitude, probability and normalization
25:26 Wave function in classically allowed and forbidden regions
35:34 Time-independent Schrodinger equation (3d) and Hamilton operator
38:18 Time-dependent Schrodinger equation (1d and 3d)
41:18 Separation of variables and stationary states

Books by Alexander Fufaev:
1) Equations of Physics: Solve EVERY Physics Problem
2) Alexander Fufaev and His Never Ending Story:

[adambaird]

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

[pharaoh]

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

[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

[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.

[tanvirfarhan]

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 YouTube. (and I watch nothing but science and physics docs on YouTube 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

[nikhilchouhan]

This is the best video available on YouTube 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!

[justaracoonchillinginatoilet]

My professor explained the TISE so poorly I came out of that lecture so confused and questioning why I decided to take theoretical physics. This video has helped clear my mind a bit. Gonna keep going over the topic to really understand it because its still a bit of a mess to me right now but your video has helped substantially. Thank you

[p.m.rangarajan]

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.

[aryanbhure]

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!

[charleschidsey]

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.

[wentianxiang]

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

[hgtrad]

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

[SergeyPopach]

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

[yasinhosgor]

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

[Mortgageman]

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

[frankharvey]

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

[kobbyobeng]

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

[kanwaljitsingh]

You deserve a nobel Prize in explaing things

[anthonyololo]

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

[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!