Assignment 4

Due: 10:00 a.m., Friday, Oct. 16

Compute the probability that a particle in a two-dimensional box occupies the rectangle defined by , for each of the following states: , (1,2) and (2,1). Give your answers in floating-point format.

Bonus:

In two dimensions, angular momentum is a scalar rather than a vector:

Because doesn't commute with and doesn't commute with , you have to be careful when you write down . The following is a correct form for this operator:

Calculate for a particle in a two-dimensional square box (i.e. for ) in the degenerate (1,7), (7,1) and (5,5) states.

Maple note:

is typed diff(f,x$2) in Maple.