hw2 - PHY 4604 Fall 2010 Homework 2 Due at the start of...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: PHY 4604 Fall 2010 Homework 2 Due at the start of class on Friday, September 17. No credit will be available for homework submitted after the start of class on Wednesday, September 22. Answer both 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. Your may find useful the following mathematical results: sin 2 x + cos 2 x = 1 , 2 sin x cos y = sin( x- y ) + sin( x + y ) 2 sin x sin y = cos( x- y ) + cos( x + y ) , 2 cos x cos y = cos( x- y )- cos( x + y ) Z x sin x dx = sin x- x cos x, Z x cos x dx = x sin x + cos x, Z sin 2 x dx = x 2- 1 4 sin 2 x Z x 2 cos x dx = ( x 2- 2) sin x + 2 x cos x, Z x 2 sin 2 x dx = x 3 6- 2 x 2- 1 8 sin 2 x- x 4 cos 2 x 1. An infinite square well confines a particle of mass m to the region- a/ 2 < x < a/ 2. (This well is shifted compared to the one considered in class.) The particles spatial wave functions can be written n ( x ) = p 2 /a cos( nx/a ) for n = 1, 3, 5, . . . , and n ( x ) = p 2 /a sin( nx/a ) for n = 2, 4, 6, . . . . Therefore, n (- x ) = (- 1) n- 1 n ( x ), a relationship that holds [with (- 1) n- 1 replaced by (...
View Full Document

Page1 / 2

hw2 - PHY 4604 Fall 2010 Homework 2 Due at the start of...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online