- #1
broegger
- 257
- 0
Hi,
I have a problem with the finite square well. I have to analyze the odd bound states of the finite square well,
Specifically, I have to examine the limiting cases (wide, deep well and narrow, shallow well) and find out, if there is always at least one odd bound state.
When I try to determine the energies of these odd states, I find that E=0 is always a solution. Is E=0 a bound state, a scattering state or what?
Also, what exactly are scattering states?
I have a problem with the finite square well. I have to analyze the odd bound states of the finite square well,
[tex] V(x)=
\begin{cases}
-V_0 & \text{for } -a<x<a\\
0 & \text{otherwise}
\end{cases}.
[/tex]
\begin{cases}
-V_0 & \text{for } -a<x<a\\
0 & \text{otherwise}
\end{cases}.
[/tex]
Specifically, I have to examine the limiting cases (wide, deep well and narrow, shallow well) and find out, if there is always at least one odd bound state.
When I try to determine the energies of these odd states, I find that E=0 is always a solution. Is E=0 a bound state, a scattering state or what?
Also, what exactly are scattering states?