the quantum well shown below: V(x) = Vo I II III x = 0 x =...

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the quantum well shown below: V(x) = Vo I II III x = 0 x = a Figure 1: Quantum Well for Problem 1 (a) Find the wavefunction general solution for each region (41(x), 11(x), and III(x)). You may assume E < V(x) in Region I and E > V(x) for Region II. (b) Enforce the boundary conditions to find the allowed energy levels of the system (c) Calculate the first three energy levels if a = 1.2nm, Vo m = mo = 25eV, and the quantum well shown below: V(x) = Vo I II III x = 0 x = a Figure 1: Quantum Well for Problem 1 (a) Find the wavefunction general solution for each region (41(x), 11(x), and III(x)). You may assume E < V(x) in Region I and E > V(x) for Region II. (b) Enforce the boundary conditions to find the allowed energy levels of the system (c) Calculate the first three energy levels if a = 1.2nm, Vo m = mo = 25eV, and