Homework 11, solutions

Problem 1, solution

Problem 2, solution

Problem 3, solution

Problem 4, solution  

.

.

.

.

(a)  If L² is measure we can obtain with probability 4/9 and 0 with probability 5/9.
(b)  If L_z is measured we obtain 0 with probability 1.
(c)  y(r) is not an eigenfunction of L². y(r) is an eigenfunction of L_z.