- #1
MGWorden
- 3
- 0
Homework Statement
Introduction to Quantum Mech Griffiths 4.9for the problem of a finite square well
v(r) =
{-Vo r<= a (i will call section I)
0 r>a (section II)Homework Equations
After I find uI and uII
uI = A sin(K r)
uII = De^-kr
and then set the boundary condition
uI = uII at a equation 1
uI' = uII' at a equation 2
next i know I divide equation 2 by equation 1
The Attempt at a Solution
then i set Kr = z andzo = sqrt(2mVo) a / h
and then i graph it with cot(z) and sqrt[(zo/z)^2-1] and look for the intersections.
But I don't know why I do this, or what the graph means.
It tells me something about the bound states but I don't know what or why.
My teacher said it is used to solve the problem numerically, but why does it need to be solved numerically?
So any information on what this step in the solving process is for would be great