- #1
clumsy9irl
- 7
- 0
I'm trying to analyze the reflection of a plane wave of energy E on the box potential where
v(x)= 0 for x<-a
-Vnaught for -a<x<0
infinity for 0<x
and I'm trying to solve the schroedinger eqn. through:
Phi(x) = e^ikx + r(k)*e^-ikx in region 1
A(k)sin(k'x) in region 2
Continuity of phi and phi'/phi at x=-a.
I'm trying to solve for r(k) and A(k), so I've gone and derived all the nastiness, and I get something like r=2ikr'- r'' and A''/A= (-hbar^2/2m)-Vnaught-E
I'm supposed to be able to tell what it means physically that the abs. value of r(k) = 1? I can'tget r(k) to equal one, and I can't find A max. How would I do this??
v(x)= 0 for x<-a
-Vnaught for -a<x<0
infinity for 0<x
and I'm trying to solve the schroedinger eqn. through:
Phi(x) = e^ikx + r(k)*e^-ikx in region 1
A(k)sin(k'x) in region 2
Continuity of phi and phi'/phi at x=-a.
I'm trying to solve for r(k) and A(k), so I've gone and derived all the nastiness, and I get something like r=2ikr'- r'' and A''/A= (-hbar^2/2m)-Vnaught-E
I'm supposed to be able to tell what it means physically that the abs. value of r(k) = 1? I can'tget r(k) to equal one, and I can't find A max. How would I do this??