χ 2 2 = { 2 Problem 1: (30 pts) Consider an electron in a finite 1D potential well of width L = 5 nm and depth Vo = 0.1

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χ 2 2 = { 2 Problem 1: (30 pts) Consider an electron in a finite 1D potential well of width L = 5 nm and depth Vo = 0.1 eV where Vo - 145 x 51 / V(x) = 0, 1x > xl > a) (15 pts.) How many bound states exist for the electron? b) (5 pts.) Calculate the electron wavevector for the n=2 bound state. c) (5 pts.) Calculate the energy for the n=2 bound state. Express the answer in mev. d) (5 pts.) Calculate the electron wavelength for the n=2 bound state.