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Unformatted text preview: Homework Week 2: Due Friday, October 9 Chemistry 110A — 2009 Professor McCurdy 1. Problem 3-16 in McQuarrie. 2. (a) Find the average value of position x , momentum p , and square of the mometum p 2 for the ground and first excited state of the particle-in-a-box with mass m and box length L . (b) In part (a) you should have found zero for the average momentum, p . That would be the value that results for any bound state of the particle-in-a-box or of any other system. Now find the expectation value of the momentum for a system in a state described by the wave function below " x ( ) = N 2 L sin # x L $ % & ’ ( ) + i 2 L sin 2 # x L $ % & ’ ( ) $ % & ’ ( ) First you have to evaluate the normalization constant, N . Note, this is not an eigenfunction of the Hamiltonian, but it is a state we could prepare at a given time, which would then change for later times, much like the wave packets on a string....
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This note was uploaded on 12/02/2009 for the course CHE 110A taught by Professor Mccurdy during the Spring '09 term at UC Davis.
- Spring '09