Problem I: A rigid body with moment of inertia I is confined to rotate in the zy plane. Its Hamiltonian is ħ2 22 H= 21 2
Posted: Wed May 18, 2022 4:32 pm
Problem I: A rigid body with moment of inertia I is confined to rotate in the zy plane. Its Hamiltonian is ħ2 22 H= 21 202 where the angle o specifies the orientation of the body. Find the energy levels and the eigenfunctions of H. The rigid body is prepared in a normalized wavefunction 20 4 37 coso. Determine the possible results of a measurement of the angular momentum and of the energy, and obtain their relative probabilities. Initially, the body has wavefunction wo at time t = 0. Find an expression for the wavefunction y(t) at a later time t. Describe the behavior of the probability distribution as a function of time.