For a system, a particle that has a squarewell potential looks like:
Code:
V(x)

  > x
a  a
  
_____ V_0
Tried drawing as best as I could (the center line is an arrow going up that is
, and the corners where the horizontal line meets the vertical line is
and
(left and right).) The base is
.
Questions:
b.) Determine which of the
situations in part a.) has restriction on the allowed energies. Explain what mathematics is the cause of the restriction.

This question is kind of tricky. We know E > 0 usually has reflection and dominates at low energy. The current is same everywhere..
I'm assuming there's no transmission/reflection?
Eigenvalues (can't be divided, unit has no path). They are discrete.
The bigger
is, the more boundary conditions? Always has 1 bound state... that's pretty much where I'm at.