# ps03 - Homework(3 for Physics 316 Modern Physics...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Homework (3) for Physics 316, Modern Physics I (Hoffstaetter/Drasco/Thibault) Due Date: Friday, 02/18/04 - 9:05 in 132 Rockefeller Hall Exercise 1: Replace the relativistic treatment of de Broglie which lead to p = ~ k and E = ~ ω with E = q ( pc ) 2 + ( mc 2 ) 2 , by a non-relativistic treatment in which E = p 2 2 m + mc 2 . This is obtained by making a second order expansion in v/c . (a) Find ω as a function of k and compute the phase velocity and the group velocity. (b) Does the group velocity equal the particle velocity as required? (c) Sketch phase and group velocity as a function of particle velocity v . (d) What happens to phase and group velocity when the rest energy is changed: E = p 2 2 m + E . Can the change in the phase velocity be detected experimentally by an interference experiment? Consider that an interference experiment is always sensitive the the phase difference between two waves....
View Full Document

## This note was uploaded on 09/28/2008 for the course PHYS 316 taught by Professor Hoffstaetter during the Spring '05 term at Cornell.

Ask a homework question - tutors are online