Use symmetry arguments to show that, in one dimension, if a particle's wavefunction is either even or odd, the average momentum is zero.

The normalized wavefunction is (1/4*pi*a^2) e^-(x^2)/(2a^2)

Particle of mass m moves in a three-dimensional box with edge lengths L1, L2, and L3. (a) Find the energies of the six lowest states if L1 =L, L2 = 2L, and L3 = 2L. (b) Which if these energies are degenerate?

A quantum mechanical particle of mass m moves in a 1D potential where a) Estimate the ground state energy of the particle. b) Sketch the wave function to the best of your ability.