Please attempt the following question, thank you.

Consider the innite well potential? with length a. Suppose the initial wave function at t : 0 is "'1: 111(0.;1:): A sin3 (L) . (0 a). (a) Find the normalization constant A (b) If one writes this wave function in the energy eigenhasis. how many nonzero terms must he included in the superposition? (c) Find the coefficients of the terms in the superposition. ((1) Calculate the expectation value of the energy at t = 0. Does this expectation value change with time? (e) write the state as a function of time (11161 3.))