At time t = 0, the wave function describing the state of a particle takes the form V(x,0) = C (441(x) — 2i½2(x) + + √544
Posted: Wed Jun 08, 2022 11:27 am
At time t = 0, the wave function describing the state of a particle takes the form V(x,0) = C (441(x) — 2i½2(x) + + √544(x)), • where (x) are normalized energy eigenfunctions for the particle with corresponding eigenvalues En = n²n²h²/2mL², where n = 1, 2, 3 .... (a) Find the value of C1² and hence obtain values for the probabilities of obtaining the energies E₁, E2 and E4. (b) Calculate the expectation value of the energy in the state described by V(x, 0), give the answer in terms of m, L and ħ.