- #1
messedmonk18
- 3
- 0
Homework Statement
Find the solutions of even and odd parity from the transcendental equations then find the number of bound states that are possible for a potential such that p(max) = 4?
Homework Equations
p=ka/2 & p(max)^2 = (u(not)a[tex]^{2}[/tex]/4), u(not) = [tex]\overline{2m(not)}[/tex][tex]\underline{\hbar^{2}}[/tex]V(not)
I've found that for Even parity: p tan(p)= [tex]\sqrt{p(max)^{2}-p^{2}}[/tex]
Odd: -p cot(p)= [tex]\sqrt{p(max)^{2}-p^{2}}[/tex]
The Attempt at a Solution
So after I've found the Even and Odd solutions from a lot of algebra I'm completely lost on how to find the number of bound states. I assume that this has to do with integers of k but I'm not sure what this all means and how to derive a "bound" state from the information given. I need a lot of help... or at least some just to get started!