1) A particle in an infinite square well V(x) = 0 for Os X S a { oo for x a has, at time t = 0, the wave function y (x) = > cu(x). n=1 where the coefficients c are given by the expression: 41/6 (- 1)(n-1)/2 for n odd D n 2512 0 for n even 96 for n odd and then C2 = n4 JT4 0 for n even a. If a measurement of the energy is performed on this system, find the probabilityP. that the measurement will yield the eigenvalue E for n = 1, 2, 3, 4 and 5. Answer: P = 0.986, P, =0, P3 = 0.0122, PA = 0, P, = 0.00158