# Barrier potential with N steps (and she's climbing the potential stariway to la )

1. Oct 26, 2008

### bspoka

Hey people,

So I have a problem where i have to find the transmitivity and reflectivity coefficients of a potential:

V=-(n^2-1)E where (E is positive, constant and is the energy of the particle) Note: V IS NEGATIVE
for n=1,2,...N.

For each "n" the region is of fixed length "a" except first and last one which go off to infinities.

I was thinking of approximating the staircase of the potential as a harmonic oscillator given N is large but i don't really know how that problem should be solved, it's definetely not easier :)
i.e. V=0 for x<0
=1/2m(w^2)(x^2) for 0<x<Na
=(N^2-1)E for x>0

Any help is appreciated!!

Cheers