Assignment 3

Due: 10:00 a.m., Wednesday, Sept. 30

1. Use Maple to verify that, for any , the particle-in-a-box wavefunctions and are orthogonal.

   Hint: You will have to tell Maple that n and m are integers.

2. Verify the Heisenberg uncertainty principle for the particle in a box for n=2.

   Note: In Maple, is typed diff(f,x$i). Maple will need to know that L and are positive.

3. Calculate and for the particle in a box for n=1.

   Note: These two expressions are different because quantum-mechanical operators do not commute: