CoE211: Electronic Device Physics Homework Set 4 1. Assume the solution to Schrodinger's wave equation is given by V(x) = v2 exp(-x/a.). Determine the probability of finding the particle for the following cases: (i) 0 V2. The wave numbers in each region are 2mE 2m ki = k2 = (E Vi), k3 = (E V2) 2 h2 Assume a special case for which kea = 2n7, n = 1,2,3,.... Derive an expression for the transmission coefficient in terms of ki, k2, and k3. The transmission coefficient is defined as the ratio of the flux of particles in region III to the incident flux in region II. 2m h2 Incident particles E >V2 V2 I II III x=0 X=a Fig. 1. Potential function for question 2