Consider a particle in a box of length L with one end coinciding with the origin. Compute the time-dependent uncertainty in position and momentum for a particle that is in an equal probability superposition of the n = 1 and n = 3 states. Demonstrate the Heisenberg uncertainty relations in this case.

Consider a particle in a box of length L with one end coinciding with the origin. Compute the time-dependent uncertainty in position and momentum for a particle that is in an equal probability superposition of the n = 1 and n = 3 states. Demonstrate the Heisenberg uncertainty relations in this case.