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Schrodinger Equation. Get the Deepest Understanding. 

Physics by Alexander FufaeV
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• Schrodinger Equation. ...
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
More: en.fufaev.org/schrodinger-equ...
Books by Alexander Fufaev:
1) Equations of Physics: Solve EVERY Physics Problem
en.fufaev.org/physics-equatio...
2) Alexander Fufaev and His Never Ending Story:
en.fufaev.org/lifestory

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21 июн 2024

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Комментарии : 331   
@fufaev-alexander
@fufaev-alexander 3 года назад
eBook: en.fufaev.org/physics-equations-book Paperback: tinyurl.com/physics-paperback Hardcover: tinyurl.com/physics-hardcover
@RegiJatekokMagazin
@RegiJatekokMagazin 10 месяцев назад
"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?
@adambaird8352
@adambaird8352 8 месяцев назад
Sometimes it makes me question why I'm paying for a degree when I learn the most from free RU-vid videos anyways
@MS-sv1tr
@MS-sv1tr 8 месяцев назад
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.
@user-je7yx7mr1s
@user-je7yx7mr1s 7 месяцев назад
I agree with you. System needs to be changed.
@JamesVestal-dz5qm
@JamesVestal-dz5qm 7 месяцев назад
You pay for a degree so the experts can understand your thinking and author your curriculum.
@dennisestenson7820
@dennisestenson7820 6 месяцев назад
Paying for the degree motivates you to learn it from RU-vid. Would you be watching this for fun?
@TJ-hs1qm
@TJ-hs1qm 5 месяцев назад
@@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.
@4pharaoh
@4pharaoh Год назад
I am shocked with how clearly you have presented this information. Fantastic job.
@fufaev-alexander
@fufaev-alexander Год назад
Thank you very much, 4pharaoh! 🙂
@tanvirfarhan5585
@tanvirfarhan5585 2 года назад
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 RU-vid. (and I watch nothing but science and physics docs on RU-vid 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
@fufaev-alexander 2 года назад
WOW, thank you for this motivating comment!
@FuzzyFirechu
@FuzzyFirechu 2 месяца назад
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
@nikhilchouhan1802 4 месяца назад
This is the best video available on RU-vid 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
@lepidoptera9337 3 месяца назад
And there is either A) the SEO bot or B) the student who hasn't found the library, yet. :-)
@theQuantumPenguin
@theQuantumPenguin 2 года назад
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
@fufaev-alexander 2 года назад
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: ru-vid.comcommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: ru-vid.comjoin
@justaracoonchillinginatoilet69
@justaracoonchillinginatoilet69 7 месяцев назад
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.rangarajan1055
@p.m.rangarajan1055 11 месяцев назад
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.
@hgtrad7655
@hgtrad7655 11 месяцев назад
Your explanation has increased my understanding of Schrodinger Equation and Heisenberg uncertainty. Thank you.
@fufaev-alexander
@fufaev-alexander 11 месяцев назад
Awesome!
@wentianxiang1155
@wentianxiang1155 6 месяцев назад
The best one to explain the Schrodinger equation. Thank you.
@aryanbhure5
@aryanbhure5 7 месяцев назад
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!
@charleschidsey2831
@charleschidsey2831 10 месяцев назад
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.
@SergeyPopach
@SergeyPopach Месяц назад
This is the best ever explanation I found so far! Great job, Aleksander!
@frankharvey1318
@frankharvey1318 9 месяцев назад
best description i've seen. great job. i'm going to _crawl_ thru all your steps.
@kobbyobeng9555
@kobbyobeng9555 Год назад
Incredible, it was so abstract to me at first but now quite simplified. I am so elated
@anthonyololo4081
@anthonyololo4081 9 месяцев назад
You did a fantastic presentation here. Thank you so much.
@yasinhosgor4403
@yasinhosgor4403 3 года назад
Another perfect video, great effort 👍 Looking forward to see next one
@HHHeiko69
@HHHeiko69 7 месяцев назад
Very very good. The best video about this topic I found so far.
@leonwang3072
@leonwang3072 5 месяцев назад
Best vid on Schrodinger's Equation!
@jakeadams2562
@jakeadams2562 9 месяцев назад
This is the first time I have been able to grasp what the mathematics of quantum mechanics are actually describing, thank you!
@marvinbergmann704
@marvinbergmann704 7 месяцев назад
Wow thank you, finally i understand the Schrödinger equation!
@roncho
@roncho Год назад
Flawless explantion of such a complex topic. You are a gifted professor
@rwd420
@rwd420 5 месяцев назад
Fantastic video, thank you very much for sharing with us!
@pong336
@pong336 3 года назад
Thank you for this marvellous explanation of the Schrödinger Equation!
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
@vesna-wc9lo
@vesna-wc9lo Месяц назад
Excellent explanations!! Thank you very much
@Mortgageman145
@Mortgageman145 4 месяца назад
Heisenberg’s uncertainty principle is h-bar over 2 not h-bar. But then again, I can’t be certain
@hqs9585
@hqs9585 9 месяцев назад
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.
@differentialxp
@differentialxp 11 месяцев назад
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!
@misham6547
@misham6547 8 месяцев назад
Thank you so much, I didn't understand this at all while in my quantum mechanics class!
@mlbelem
@mlbelem 7 месяцев назад
Congrats for your outstand work and easy way of explain things🎯🎯🎯
@memsuniverse
@memsuniverse 5 месяцев назад
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
@15837pawimomo
@15837pawimomo 3 месяца назад
Wonderful explanation
@hellium8
@hellium8 10 месяцев назад
Amazingly concise and logical presentation!
@kanwaljitsingh3248
@kanwaljitsingh3248 7 месяцев назад
You deserve a nobel Prize in explaing things
@ShujaWaras-nn4fw
@ShujaWaras-nn4fw 9 месяцев назад
Thank you for making this video .
@vodimizoc
@vodimizoc 2 года назад
Fantastically clear and well paced. The animations are very meaningful. Much past learning fell into place during this video.
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
@michellehu8264
@michellehu8264 9 месяцев назад
Very good explanation of schrodinger equation mathematically
@user-82086
@user-82086 2 месяца назад
Thank you very much!It helps a lot!
@understrings1
@understrings1 9 месяцев назад
If I could follow, so you are a good teacher. Even with very little background in math I could follow the explanation. Well done. 🥰
@sh0ejin
@sh0ejin Год назад
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
@fufaev-alexander Год назад
Hey Goshujin, thank you for a very motivating comment and sharing the video. It was a great pleasure for me!
@kangeroosh
@kangeroosh 2 года назад
Absolutely amazing explanation. So detailed!
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you very much!
@camelectric
@camelectric Год назад
This is AWESOME!
@TeamHarrisonMachine
@TeamHarrisonMachine Год назад
GREAT VIDEO!!! Thank you!!
@arlesterchristian8805
@arlesterchristian8805 8 месяцев назад
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.
@haniamritdas4725
@haniamritdas4725 2 года назад
Amazingly clear presentation. Many thanks!
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you, feel free to take part in the polls for the next video topics
@hydropage2855
@hydropage2855 Год назад
One of my favorite videos of all time
@fufaev-alexander
@fufaev-alexander Год назад
oh wow, thank you very much! 🌻
@JohnnyGuitar1
@JohnnyGuitar1 3 года назад
What an incredibly good teacher! Thank you so much. Subscribed.
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
@davidrosas2277
@davidrosas2277 9 месяцев назад
So beautifully explained, so elegantly elaborated… and yet I still don’t grasp it entirely… keep posting bro!
@sylvesterjonas9141
@sylvesterjonas9141 2 месяца назад
You are such a beautiful soul and mind; it's people like you that make me doubt my own atheism. How could a careless, random world bring about something as beautiful as your mind? I've been inspired to become a better person just by your sharing of your knowledge and goodness with us.
@shaiplatifi6998
@shaiplatifi6998 10 месяцев назад
excellent explanation of quantum mechanics!
@ivansossa6601
@ivansossa6601 Год назад
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
@fufaev-alexander Год назад
Hey Ivan, yeah I feel you😁
@amanbajracharya7403
@amanbajracharya7403 9 месяцев назад
thanks...cleared so many doubts
@spal3907
@spal3907 Год назад
so good seems like schrodinger himself explained with modern understanding incorporated 🥰🥰🥰
@fufaev-alexander
@fufaev-alexander Год назад
haha, thank you 😄
@t_sixtyfivex_wing8787
@t_sixtyfivex_wing8787 3 года назад
Thank you so much 💕
@kwccoin3115
@kwccoin3115 10 месяцев назад
Crazily good even though I cannot say I can understand it all. Very good.
@desolation0012
@desolation0012 2 года назад
Thank so much for helping me understand this topic!
@fufaev-alexander
@fufaev-alexander 2 года назад
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: ru-vid.comcommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: ru-vid.comjoin
@mohammedazam74
@mohammedazam74 2 года назад
The most excellent video I've found in RU-vid for quantum mechanics.
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you! Check out my physics website: universaldenker.org :)
@psuecondude
@psuecondude 10 месяцев назад
Very impressive. Thank you.
@SummerW2345
@SummerW2345 3 года назад
another great video ! thanks for creating this masterpiece ....
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
@hankieu5209
@hankieu5209 Год назад
Thanks a lot for such an amazing video!!!!
@fufaev-alexander
@fufaev-alexander Год назад
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 -> ru-vid.comjoin
@emin5124
@emin5124 10 месяцев назад
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.
@dilloncrace1640
@dilloncrace1640 9 месяцев назад
Absolutely amazing
@vaishnavipal2298
@vaishnavipal2298 Год назад
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
@fufaev-alexander Год назад
Hey Vaishnavi, thank you very much for your positive feedback! 🤩
@Mikey-mike
@Mikey-mike 2 года назад
Well done. You are an excellent teacher.
@fufaev-alexander
@fufaev-alexander 2 года назад
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: ru-vid.comcommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: ru-vid.comjoin
@epriyblas
@epriyblas 2 года назад
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!!
@anirbandey6206
@anirbandey6206 Год назад
Yeah it was genuinely helpgul
@theodoroskoudounas1395
@theodoroskoudounas1395 2 года назад
Excellent presentation
@casmajd2394
@casmajd2394 9 месяцев назад
Just beautiful and comprehensive.
@fufaev-alexander
@fufaev-alexander 9 месяцев назад
Thank you! :)
@nigelholmes1030
@nigelholmes1030 3 года назад
Thank you. Excellent work. Very clear explanations.
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
@rajkumarburada3799
@rajkumarburada3799 Месяц назад
Well explained.
@sdsa007
@sdsa007 Год назад
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
@fufaev-alexander Год назад
Thank you Steve!
@billmichae
@billmichae 10 месяцев назад
Masterful presentation.
@fufaev-alexander
@fufaev-alexander 10 месяцев назад
Thank you!!
@GoogleUser-ee8ro
@GoogleUser-ee8ro 7 месяцев назад
This video is so very helpful
@fufaev-alexander
@fufaev-alexander 7 месяцев назад
Thank you
@NovaWarrior77
@NovaWarrior77 2 года назад
Awesome, and appreciated.
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you! Feel free to join the polls I'm doing in the community tab. There you can vote for the next video topic: ru-vid.comcommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: ru-vid.comjoin
@DennisKorolevych
@DennisKorolevych 13 дней назад
This is beautiful!
@ahmdkalef2252
@ahmdkalef2252 2 года назад
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
@fufaev-alexander 2 года назад
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: ru-vid.comcommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: ru-vid.comjoin
@jaseemajasmin5296
@jaseemajasmin5296 11 месяцев назад
Thankyou sir❤....this is just awesome... concept is crystal clear..keep going
@fufaev-alexander
@fufaev-alexander 11 месяцев назад
I will! Thank you very much for your positive feedback!
@stevenzucker2251
@stevenzucker2251 2 года назад
The visual explanation of the equation helps greatly in the understanding and analysis of the equation. Highly recommended!!
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
@MALAYAPH24
@MALAYAPH24 4 месяца назад
❤❤❤awesome lecture
@diraceq
@diraceq 3 года назад
thank you so much. I love the video
@ChangOhKim
@ChangOhKim 3 года назад
Thank you..! You did really good work.!
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
@ahmadabhasan8998
@ahmadabhasan8998 4 месяца назад
Thank you very much ..great vedio
@matheuspereiracoutinho7953
@matheuspereiracoutinho7953 2 года назад
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
@ThanhNhan_GiaSu234
@ThanhNhan_GiaSu234 7 месяцев назад
Very helpful❤❤❤
@TJ-hs1qm
@TJ-hs1qm 5 месяцев назад
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.
@Sarrrraah
@Sarrrraah 2 года назад
Great vid with detailed explanation....thaaaaaanks
@fufaev-alexander
@fufaev-alexander 2 года назад
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).
@paulstanton4604
@paulstanton4604 3 года назад
Thanks for the video. This is very helpful.
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
@maddyv5660
@maddyv5660 Год назад
Very well presented.
@fufaev-alexander
@fufaev-alexander Год назад
Thank you!
@craigfowler7098
@craigfowler7098 2 года назад
Learnt more in this video than I did in quantum mechanics course
@fufaev-alexander
@fufaev-alexander 2 года назад
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: ru-vid.comcommunity If you regularly visit my channel and like my videos, I would be happy about 1 x coffee ☕ per month: ru-vid.comjoin
@60pluscrazy
@60pluscrazy 2 года назад
Amazing explanation 👌
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
@dantefedeli9244
@dantefedeli9244 2 года назад
EXCELLENT EXPLANATION !!!!
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you! Would be happy if you subscribe to my channel!
@dantefedeli9244
@dantefedeli9244 2 года назад
@@fufaev-alexander I'VE ALREADY DONE!
@david203
@david203 Год назад
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.
@WildGamez
@WildGamez 2 года назад
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
@fufaev-alexander 2 года назад
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!
@douglas5260
@douglas5260 2 года назад
thanks man. When your channel gets discovered by the algorithm, you'll explode.
@keandak7427
@keandak7427 4 месяца назад
thank you so much!!!
@user-jl2zd4yj5j
@user-jl2zd4yj5j 4 месяца назад
Very good video
@user-vc8dx8qz1n
@user-vc8dx8qz1n Год назад
Another awesome video, but is it possible for you explain how the periodic table is predicted by the Schrodinger equation.
@anikakapur1460
@anikakapur1460 9 месяцев назад
You are a literal god
@tfs711
@tfs711 2 года назад
Your videos are true gem. Best delivery way... just WOW!!!
@fufaev-alexander
@fufaev-alexander 2 года назад
WOW, Thank you! :) Please checkout my new physics website: en.universaldenker.org/
@fufaev-alexander
@fufaev-alexander 2 года назад
Thank you!
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