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I have a problem with the finite square well. I have to analyze theoddbound states of the finite square well,

[tex] V(x)=

\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 oneoddbound 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?

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# Finite square well

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