2.14 A quantum particle of unit mass in one dimensional box of unit length is prepared in the following state at time f = 0. V3 2 EI)|+ NI~. E2) . where [E1) and |E2) are the first and second eigenstates of the Hamiltonian of the particle. Answer the following questions. (a) Find out the expression for (x/d). (b) Determine the state (v; f) at time / = 1. (c) Calculate the expression for the expectation value for $ of the particle for arbitrary time f