Issued Wed, Sept 11 Due Wed, Sept 18

There are HINTS for this homework!

Required reading for this week: Gas. Ch. 3, start Ch. 4.

1) Gas. Problem 3-1

2) Gas. 3-5.

Note: For part d, I claim the answer to Gas. 3-4b is , you may use this result. (Although, it's really easy enough to derive it, once you've done 3-5 b and c)

3) Gas 3-6.

Does your answer satisfy the uncertainty principle? (Discuss briefly.)

4) Gas 3-8

5) Prove Ehrenfest's theorem, which states that for any quantum mechanical particle in a real potential V,

(Note: This provides a nice connection to classical physics, because classically

So, Ehrenfest's theorem tells us that at least the expectation values are obeying Newton's laws!)

Go to Prof. Pollock's home page.

Go to the Physics Department's home page.