PC 441 2112 Quantum Mechanics I Blk 2, 2007-08

Quiz

Name:

Honor Pledge:

This is an hour or so quiz. You may use a calculator, an 8.5”´11” sheet of your notes, and a table of integrals, but no other aids. Give me your test (with your note sheet attached) when you are done.

Consider the wave function

Y(x, t) = Aexp[-çx/lç]exp[iwt]

where A, l, and w are constants.

1. Normalize Y.

2. Is Y a stationary state?

3. Determine the expectation values of x, x² and x³.

4. Determine the expectation values of p, p² and p³.

5. Determine s_x and s_p.

6. Show that this wave function satisfies the uncertainty principle.