How exactly do I find the expressions for k1 and k2? The ones that I took came from a similar example done in class. I can't find any information regarding how k is found, I can only find concrete values for specific examples.
I've reworked my solution for part a and have come up with the following solutions:
For the region in the well - \psi(x,t) = Aexp(ik2x)exp(iwt) + Bexp(-ik2x)exp(-iwt) where k2=((2mE)^-1/2)/hbar.
For the region outside the well - d^2\psi/dx^2 + 2m/hbar^2 (E-V0)\psi = 0 which has the solution...
I'm afraid you have me confused then. How is it that I can use the time-independant S. Equation when the problem specifically asks for a complete time and space solution?
Homework Statement
A particle with energy greater than the potential is defined as below:
V(x) = Vo (x<0)
V(x) = 0 (0<x<a)
V(x) = Vo (x>a)
a) Write the complete solutions (time and space) to the S. Eqn for the 3 regions
b) What condition must the width of the potential satisfy for the...