Question 3 At time t = 0, the wave function describing the state of a particle takes the form V(x, 0) = C (461(x) — 2i½/
Posted: Wed Jun 08, 2022 12:53 pm
Question 3 At time t = 0, the wave function describing the state of a particle takes the form V(x, 0) = C (461(x) — 2i½/2(x) + √544(x)), where n(x) are normalized energy eigenfunctions for the particle with corresponding eigenvalues En = n²²h²/2mL2, where n = 1, 2, 3 .... (a) Find the value of C2 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.