I'm working through a step potential and I am confused as to why one of the coefficients doesn't go to zero.
V(x) = 0 when x < 0;
V(x) = V_not when x > 0;
a. Calculate reflection coefficient when E < V_not
I can solve the reflection part, it is a step towards it that i am confused about.
The Attempt at a Solution
Now i know the solutions solve to:
Aexp(ikx)+Bexp(-ikx) where k= sqrt(2mE)/hbar when x<0
Cexp(lx) where l=sqrt(-2m(E-V_not)/hbar when x>0
So my question is why doesn't B=0? Because when x->-infinity it goes to infinity so B has to be 0. The only reason i can think it wouldn't is because of tunneling. If this is the case how do I spot this. Is it only relevant in step potentials?