2D Schrodinger Equation Numerical Solution in PYTHON

A COUPLE CORRECTIONS:
1: At around 2:30 I have the discrete Schrodinger in equation in a red box. Ignore this: there are some sign errors
2: At 18:00 I talk about a so-called "artificial rotation" in the 2nd and 3rd eigenstates of the infinite square well. This is bogus. Since these two eigenstates are degenerate (i.e. have the same eigenvalue) any linear combination of them is also an eigenstate. The traditional eigenstates you might see in a textbook correspond to some linear combination of the ones found in this video.

1D Schrodinger Equation:

Code located in the link below. Go to "Python Metaphysics tutorials" and then "Vid 6"

[sarcasticsteve]

You're a hero. I never got how the heck animations in matplotlib really worked, but now I'm goona include a sick rotating gif into my thesis presentation!

[lukather]

Man I love you, this series is the best content I've seen for years

[DarkMatterSprinkles]

I'm currently conducting research for 2 Physicists in my department, one of them being the chair. While taking Intro to Quantum...This video is SO valuable, I have to do the Schod Eqn in Cylindrical taking into consideration Rho and Z...this video will be SO helpful! Thank you!

[fredesch]

How did I understand that. It looks so complicated, but you made it sound so easy, man you really have some skill, congrats.

[munozariasjm]

Damn, by far one of the best live physics coding I have ever seen!

[josephjones]

Another good video! Very easy to follow

[CliveWolfe]

The fact that you have an asd.txt file means that I have to sub :D also a great video

[silverback]

Hello, it's a nice video. But there is some small mistakes the Psy vector dimension is (N-2)² and the matrice ((N-2)²* (N-2)²) and in the final equation Delta_x² should be replaced by Delta_x²*Delta_y² (given your last definition of the matrice D)

[generalrockstar]

This was an excellent instruction. Thanks a lot! :)

[bobingstern]

How can I set the initial starting condition for psi0? I want to experiment with travelling waves and such

[frankkoslowski]

Don't know what version Python you use,
but to get the animation working at all,
def init() had to be removed,
and an adequate projection declaration provided as such:
fig, ax = '3d'})

[bobingstern]

I might have phrased my last question wrong but how can I do it so that I can choose an energy level using 2 parameters like nx and my rather than just n?

[DarkMatterSprinkles]

I have one question, we are supposed to solve the Schrod Eqn cylindrically our Schrod Eqn becomes discretized in 3 places instead of 2 like you have here. 2 of 3 of those can be resolved using your Kronecker Sum Method, can we also do a second Kronecker sum to incorporate a third component? Thank you!

[padraicheberlein]

Quantum physics, programming AND the Grateful Dead?!?!? I feel like we might be long lost brothers...

[Painting_Nicely_With_Me]

Thanks Mr. P Solver for this video. Can you please tell me why your results is not in agreement with analytical results? In analytical method for the same problem we have psi = 2/L * If we plot this psi for versus nx and ny, we cannot see any agreement between analytical and numerical methods. Thanks

[ThRandommMan]

So I get the time evolution in 1D, but with this setup, how would you go about with time evolution?

[shaneebe]

hi, man
I kind of stuck with the holland single vortex (1980) wind modeling in python for cyclones... can u do a video on this equation and numerical presentation ??? plz :)

[simonedicataldo]

This is a really great video! Does anyone know of a similar treatment for the problem in spherical coordinates? The shape of the Laplacian changes, so should also the operator, but there's a lot of interesting problems that you can think of in spherical coordinates (such as the quantum rotator).

[diegoespinoza]

Hi, nice video, do you have any written reference you can recommend me? I don't understand spoken English, but written English I do 👉👈(specifically about the matrix approximation method, I checked the references you left, but I didn't find reports about those works).

[kaouthartlili]

Hi, thanks for the video, are you familiar with variational method for the resolution of excitons' 2D Schrodinger equation ?