Hello to all and each one of you!(adsbygoogle = window.adsbygoogle || []).push({});

I'm a bit confused about solving Shoroedinger equation

[tex]

\nabla^2 \psi + (p^2 - 2mU(\textbf{r})) \psi = 0,

[/tex]

for scattering problem

[tex]

\psi(|\textbf{r}|\to \infty) \sim e^{i\textbf{pr}} + f(\theta,\phi) e^{ipr}/r

[/tex]

if potential is of the form

[tex]

U(\textbf{r})=V_1(|\textbf{r}|) + V_2(|\textbf{r}-\textbf{a}|).

[/tex]

Assuming potentials are not singular and decrease rapidly enough at long distance what is the best choice of coordinates and what are the corresponding initial/boundary conditions for analytical analysis and numerical calculation?

Thanks for any help

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# Scattering off two centers

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