- #1
quZz
- 125
- 1
Hello to all and each one of you!
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
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