Schrodinger Equation. Get the Deepest Understanding.
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- čas přidán 20. 06. 2024
- • 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...
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"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?
Sometimes it makes me question why I'm paying for a degree when I learn the most from free CZcams videos anyways
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.
I agree with you. System needs to be changed.
You pay for a degree so the experts can understand your thinking and author your curriculum.
Paying for the degree motivates you to learn it from CZcams. Would you be watching this for fun?
@@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.
I am shocked with how clearly you have presented this information. Fantastic job.
Thank you very much, 4pharaoh! 🙂
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 CZcams. (and I watch nothing but science and physics docs on CZcams 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
WOW, thank you for this motivating comment!
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
This is the best video available on CZcams 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!
And there is either A) the SEO bot or B) the student who hasn't found the library, yet. :-)
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.
Thank you for your positive feedback! That motivates me!
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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
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.
Your explanation has increased my understanding of Schrodinger Equation and Heisenberg uncertainty. Thank you.
Awesome!
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!
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.
The best one to explain the Schrodinger equation. Thank you.
Heisenberg’s uncertainty principle is h-bar over 2 not h-bar. But then again, I can’t be certain
This is the best ever explanation I found so far! Great job, Aleksander!
You did a fantastic presentation here. Thank you so much.
best description i've seen. great job. i'm going to _crawl_ thru all your steps.
You deserve a nobel Prize in explaing things
Incredible, it was so abstract to me at first but now quite simplified. I am so elated
Amazingly clear presentation. Many thanks!
Thank you, feel free to take part in the polls for the next video topics
Another perfect video, great effort 👍 Looking forward to see next one
Flawless explantion of such a complex topic. You are a gifted professor
This is the first time I have been able to grasp what the mathematics of quantum mechanics are actually describing, thank you!
Very very good. The best video about this topic I found so far.
Fantastic video, thank you very much for sharing with us!
Excellent explanations!! Thank you very much
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!
Thank you for this marvellous explanation of the Schrödinger Equation!
Thank you!
Wow thank you, finally i understand the Schrödinger equation!
Best vid on Schrodinger's Equation!
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.
Thank you so much, I didn't understand this at all while in my quantum mechanics class!
Wonderful explanation
GREAT VIDEO!!! Thank you!!
Very good explanation of schrodinger equation mathematically
Congrats for your outstand work and easy way of explain things🎯🎯🎯
Thank you for making this video .
Thank you very much!It helps a lot!
What an incredibly good teacher!
Thank you so much.
Subscribed.
Thank you!
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.
Absolutely amazing explanation. So detailed!
Thank you very much!
Fantastically clear and well paced. The animations are very meaningful. Much past learning fell into place during this video.
Thank you!
Amazingly concise and logical presentation!
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
Hey Goshujin, thank you for a very motivating comment and sharing the video. It was a great pleasure for me!
This is AWESOME!
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
Thank so much for helping me understand this topic!
Thank you for the kind comment!
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If I could follow, so you are a good teacher. Even with very little background in math I could follow the explanation. Well done.
🥰
thanks...cleared so many doubts
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.
Very impressive. Thank you.
Thank you so much 💕
so good seems like schrodinger himself explained with modern understanding incorporated 🥰🥰🥰
haha, thank you 😄
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!!
Well done.
You are an excellent teacher.
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:
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The most excellent video I've found in CZcams for quantum mechanics.
Thank you! Check out my physics website: universaldenker.org :)
THANK YOU! I l am very grateful for how you connected the dots for me between curvature, oscillation, normalization and quantization. Very Great Teaching!
Thank you Steve!
Thanks a lot for such an amazing video!!!!
Thank you, Han!
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So beautifully explained, so elegantly elaborated… and yet I still don’t grasp it entirely… keep posting bro!
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.
thanks man. When your channel gets discovered by the algorithm, you'll explode.
Excellent presentation
excellent explanation of quantum mechanics!
Well explained.
Absolutely amazing
Just beautiful and comprehensive.
Thank you! :)
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.
Hey Ivan, yeah I feel you😁
Yeah it was genuinely helpgul
Thank you. Excellent work. Very clear explanations.
Thank you!
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!
Hey Vaishnavi, thank you very much for your positive feedback! 🤩
thank you so much. I love the video
❤❤❤awesome lecture
Crazily good even though I cannot say I can understand it all. Very good.
another great video ! thanks for creating this masterpiece ....
Thank you!
Awesome, and appreciated.
Thank you!
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Thankyou sir❤....this is just awesome... concept is crystal clear..keep going
I will! Thank you very much for your positive feedback!
This is beautiful!
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.
One of my favorite videos of all time
oh wow, thank you very much! 🌻
Thank you very much ..great vedio
Very helpful❤❤❤
Thank you..! You did really good work.!
Thank you!
Learnt more in this video than I did in quantum mechanics course
Oh yes, I feel you! 😁
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Thanks for the video. This is very helpful.
Thank you!
Masterful presentation.
Thank you!!
Great vid with detailed explanation....thaaaaaanks
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).
Very good video
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 .
Thank you very much!
Sure, I will produce more videos!
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Very well presented.
Thank you!
The visual explanation of the equation helps greatly in the understanding and analysis of the equation. Highly recommended!!
Thank you!
This video is so very helpful
Thank you
Excellent work sir👌👌 thank you so much 🙏
Thank you!
Great video, thanks :)
Thank you very much!
So Good❤❤
thank you so much!!!
thank you
thanks!
Excellent.
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.
Outstanding