The Finite Square Well: *Two* Methods Every Physicist Should Know
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- Опубликовано: 5 июл 2024
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In this video I look at two different techniques for solving the finite square well problem of quantum mechanics.
Code: github.com/lukepolson/youtube...
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Thank you Mr. P. Solver. Your lectures are my main guides in studying python programming.
So good. I literally have this problem due in a homework today. I like the ways you solved it!
Good stuff! Love your content man, I like to follow along and do them with you.
Very good man! Thank you for sharing your experience.
Cool! I'm a physics undergrad, your videos helped me a lot 👌👌
Good video, but I find red letters difficult to read with dark backgrounds.
can you solve this problem by using the numerov method
One of the finest videos on this topic.
Hey Man I love all of your content and it helped me so much. I am waiting for a content where you could do some High Energy physics exercises.
❤️
hey dude love the videos, fr they are dynoomite, keep doing ur thing. Think youll ever do some QM many body stuff further down the line, HF, CI, DFT etc...? anyway hope this channel blows up!!
Perhaps! I'd need to read more about them first, since I can't say I'm super familiar!
@@MrPSolver me neither haha but, I'm learning now!!. QM many body (and non qm also) stuff is well suited for numerical approaches too since I don't think there is any analytical ways of doing it. Check out "an introduction to hartree fock...." By c David sherill (online paper) for a very quick intro to hf (the og method), and I think molecular structure theory by trygve helgaker is the big boy book for in detail workings (although I haven't read any of it myself).
A video on symplectic integrators use to solve quantum system would be awesome
What is the form of the tridiagonal matrix if there is a first-order derivative in the second-order differential equation? I believe that if one uses the finite difference definition of the first-order derivative and sums it up with the second-order derivative definition, the off-diagonals won't be equal.
Great work!
Hi, this help me to solve finite well, i was wondering how i can implement this method to solve the potential barrier. How can i do that? Im wondering if the conditions psi_0=0 and psi_N=0 are still valids...Thanks in advance!!
How about animating a traveling wave funcation reflected from a barrier wall, showing the tunneling of the wave function. That would be cool.
I think you can rewrite the tan (cot) functions in terms of sine and cosine functions thus avoiding those horrible singularities. For example, p * tan(p) - q = 0 same as q * cos(p) - p * sin(p) = 0, and similar for cot.
you make me feel that solving schrodinger equation is at everybody's arm reach !!!
Fantastic. Thank you! :)
Thanks for good content.
Could you please make a video for Maxwell's equations? 🙂
This _does_ apply to Maxwell's equations - the case of plane waves in an interferometer or resonator. It also applies to acoustic waves. "The same equations have the same solutions."
Good tutorial, thumbs up. BTW red on black is not so visible. Maybe chose something with higher contrast.
Quite true; I didn't notice until I was editing!
a great video, thank you!!
Damn, finite differences ftw!!
very helpful
Thx
This guy Vinod is always present in Schrodinger problems 😂🤣🤣
Perfect 👍
may Allah reward you well for the content, but I didn't understand why you added 1e-9 in LHS2 at 9:57
nvm, you explained it at 11:00
no Diss track today?
Gotta save the diss track for the sequence of square wells ;)
I am falling behind, physics itself is challeng8ng let alone these codes, i am trying but keep failing .... I am 41. I bearly fonnished my Masters. .... i do not knwo what to do.
I think i will return to work in my restaurant .
Great vid overall, but that method for finding the zeros of a function was the sketchiest shit I’ve ever seen 💀
Haha welcome to numerical computing