Consider a particle of mass m in a two-dimensional box having side lengths Lx and Ly with Lx =2Ly and V =0 in the box,∞outside.

• a) Write an expression for the allowed energy levels of this system.
• b) What is the zero-point energy?
• c) Calculate the energies and degeneracies for the lowest eight energy levels.
• d) Sketch the wave function for the fourth level.