1. Consider the following quantum well geometry shown below: V(x) = + Region I Region II Region III V(x) = V. V(x) = 0 0

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1 Consider The Following Quantum Well Geometry Shown Below V X Region I Region Ii Region Iii V X V V X 0 0 1 (31.53 KiB) Viewed 36 times

1. Consider the following quantum well geometry shown below: V(x) = + Region I Region II Region III V(x) = V. V(x) = 0 0 +a/2 (a) Find the wavefunction general solution for each region (:(1), (2), and 07 (2)). You may assume E < V(x) in Region 1/III and E > V(x) for Region II. (10 points) (b) Enforce the boundary conditions to find the allowed energy levels of the system (20 points) (c) Calculate the first three energy levels if a = 1.0nm, Vo = 25eV, and m=mo. (20 points)