Modern Physics, Spring '10

Homework 4

1. Problem 2.26 ("When a pebble is tossed into a pond...")

2. Use the relativistic relation between energy and momentum (E^2 = p^2 c^2 + m^2 c^4) and the energy and momentum operators discussed in class to "derive" the Klein-Gordon equation. (The K-G equation is a kind of relativistic analog of Schroedinger's equation; it's written out in, for example, Problem 2.29.) Then do Problem 2.29.

3. Problem 2.32 ("...deriving the second of Ehrenfest's equations..."

4. Problem 2.33 ("Evaluate <x>, <p_x>, ...")