This is inspiring. The beauty of it is it can apply to any V easily. We used to guess E and then use derivative to approach 0. Once we got E, then try to solve wave function. The approach here is really refreshing.
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!!
@@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).
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.
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!!
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."
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 .
This is inspiring. The beauty of it is it can apply to any V easily. We used to guess E and then use derivative to approach 0. Once we got E, then try to solve wave function. The approach here is really refreshing.
Thank you Mr. P. Solver. Your lectures are my main guides in studying python programming.
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).
So good. I literally have this problem due in a homework today. I like the ways you solved it!
Good video, but I find red letters difficult to read with dark backgrounds.
Cool! I'm a physics undergrad, your videos helped me a lot 👌👌
One of the finest videos on this topic.
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.
can you solve this problem by using the numerov method
Good stuff! Love your content man, I like to follow along and do them with you.
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!
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!
you make me feel that solving schrodinger equation is at everybody's arm reach !!!
Very good man! Thank you for sharing your experience.
A video on symplectic integrators use to solve quantum system would be awesome
How about animating a traveling wave funcation reflected from a barrier wall, showing the tunneling of the wave function. That would be cool.
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!!
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.
❤️
Damn, finite differences ftw!!
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."
no Diss track today?
Gotta save the diss track for the sequence of square wells ;)
This guy Vinod is always present in Schrodinger problems 😂🤣🤣
Fantastic. Thank you! :)
a great video, thank you!!
very helpful
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 .
Perfect 👍
Thx
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