This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: PHY 4604 Fall 2010 Homework 1 Due at the start of class on Friday, September 3. No credit will be available for homework submitted after the start of class on Wednesday, September 8. Answer all four questions. Please write neatly and include your name on the front page of your answers. You must also clearly identify all your collaborators on this assignment. To gain maximum credit you should explain your reasoning and show all working. This assignment is primarily designed to provide practice with standard mathematical tech niques encountered in wave mechanics. You may find useful the following integrals: Z sin 2 x dx = 1 2 ( x sin x cos x ) , Z x 2 n exp( x 2 /a 2 ) dx = (2 n )! n ! a 2 2 n +1 . In the second equation, a is real, n is a nonnegative integer, and n ! = n ( n 1)! with 0! = 1. 1. A pointlike particle of mass m moving in one dimension is confined between hard walls at x = 0 and x = L . The particle is described by the wave function ( x, t ) = ( A sin(2 x/L ) exp( iEt/ ~ ) for 0 x L, o t h e r w i s e . (1) Here L is a real length, while the constants A and E may be real, imaginary, or complex....
View
Full
Document
This note was uploaded on 12/15/2011 for the course PHY 4604 taught by Professor Field during the Fall '07 term at University of Florida.
 Fall '07
 Field
 mechanics, Work

Click to edit the document details