At time t = 0, the wave function describing the state of a particle takes the form V(x,0) = C (461(x) − 2i42(x) + √544(x
Posted: Wed Jun 08, 2022 11:49 am
At time t = 0, the wave function describing the state of a particle takes the form V(x,0) = C (461(x) − 2i42(x) + √544(x)), where n(x) are normalized energy eigenfunctions for the particle with corresponding eigenvalues En = n²²ħ²/2mL², 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 ₁. (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.