Chemistry 3730 assignment 3

Due: Friday, Sept. 26, 10:00 a.m.

1. Verify that the Heisenberg uncertainty principle holds for the particle in a box in its first excited state (n=2).
2. For any given state of the particle in a box, the square of the momentum is exactly known. Give a formula for this quantity.

   Hint: An important observable is proportional to the square of the momentum.