Graduate Boundary conditions of eigenfunctions with Yukawa potential

[Riccardo Marinelli]

TL;DR

Where can I find information about the boundary condition of eigenfunctions of the schrödinger equation with Yukawa potential?

Hello, I was going to solve numerically the eigenfunctions and eigenvalues problem of the schrödinger equation with Yukawa Potential. I thought that the Boundary condition of the eigenfunctions could be the same as in the case of Coulomb potential. Am I wrong? In that case, do you know some articles/books where I can find information about that?

 

[vanhees71]

Which boundary conditions are you referring to? For the radial wave function the ones at $r=0$ should indeed be the same as for the Coulomb potential. For $r \rightarrow \infty$ you only need one for the bound states, which leads to the quantized energy eigenvalues as for the hydrogen atom.

 

[Riccardo Marinelli]

Hi, I was referring to the boundary conditions in r=0, thank you for your reply