There is a square barrier that has the following wavefunctions:
Ï1 = Ae^(-ikx) + Be^(ikx) for (-â < x < 0)
Ï2 = Ccos(lx) + Dsin(lx) for (0 < x < a)
Ï3 = Fe^(ikx) for (a < x < â)
and their is a potential of:
V(x) = Vo for 0 < x < a
and
0 otherwise
E > 0 so the stat is scattering.
Answer the following questions:
1. Apply any essential boundary conditions at x = 0. Whensetting these boundary conditions you can neglect the wavereflected at the boundary of x = a. Show these boundaries.
2. Now set the boundary conditions for x = a. You must accountfor the neglected wave durning the first question here.
3. Using the answers from questions 1 and 2 show thattransmission should be:
T = (16E (Vo-E)/Vo^2) e^-2ka
Make sure you identify what k is in the above equation.
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