This task is about. I have given the correct solution to a similar task. However, it was solved differently, among other things, by integrals. I just wanted to make sure I had the right solution here. It's about quantum mechanics, I'll add the similar task later. (With solution)!! Thank you very much. A nice tutor just told me it could be solved without ?.

I.) A particle in a one-dimensional harmonic oscillator potential has as its initial state a superposition of energy eigenstates, namely the normalised ground state and the normalised second excited state a) Normalise u (X,0) b) Determine i (x.t) and | (x,t)|2 c) Calculate (x) and (p). d) Determine the expectation value of H. (x, 0) = N [vo(x) + 1/2(2)] V (x, 0). (x, t) and |V (x, t) |2 (p). H