[note that other equivalent and commonly used shortcut terms for this task are: (a) "normalise v(x,0)", which actually refers to normalising the probability density 1 (2, 0)); or (b) "find a such that the wavefunction is normalised”.] (b) using this initial state, find (x, t) and the probability density v(3, 0); is the latter corre- sponds to a stationary state? (c) what is the expectation value of the energy for the wave function (c, t); how does it compare with ej and e2? (d) if i make a measurement of the energy of the particle, what are the possible values that i might get, and what is the probability of getting each of them? assume that at time t = 0, the wave function of a particle in an infinite square well potential (i. e., v(x) = 0 if 0 < x