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1D Schrodinger equation

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Dear Comsol users,

I want to solve radial Schrodinger equation for Hydrogen atom in comsol. So I use 1D axisymmetric coefficient form PDE and solve for eigenvalues with boundary conditions as u =0for r----> 0 and Infinity. I cannot get the degeneracy of energy states as in 2D H atom example.

I have attached my model here. Could anyone please tell me what am I doing wrong here ?


2 Replies Last Post 11 nov 2015, 00:00 GMT-5
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Hello Ind Atan

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Posted: 9 years ago 23 giu 2015, 12:12 GMT-4
Hi,buddy! Do u solve this problem now?
Hi,buddy! Do u solve this problem now?

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Posted: 9 years ago 11 nov 2015, 00:00 GMT-5

Hi,buddy! Do u solve this problem now?


Here is attached modified example from the OP's post. One needs to create denser mesh (user defined) and extend Dirichlet boundary condition to larger r for f->0 when r->\infty. When one does it, then it looks like you get properly degenerate eigenvalues as it should be for the hydrogen atom.
Hope that helps.
Jacek
[QUOTE] Hi,buddy! Do u solve this problem now? [/QUOTE] Here is attached modified example from the OP's post. One needs to create denser mesh (user defined) and extend Dirichlet boundary condition to larger r for f->0 when r->\infty. When one does it, then it looks like you get properly degenerate eigenvalues as it should be for the hydrogen atom. Hope that helps. Jacek

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