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: 2. What is the expectation value? What is the general expression for the expectation value of an operator? 3. A large part of quantum mechanics is devoted to the study of the solutions of the Schroedinger equation for dierent potentials. What are the forms of the potential for the following: (a) a free particle (b) a particle in a box of length a (c) a harmonic oscillator 4. What are the conditions that the wavefunction must satisfy for the particle in a box problem? 1 Enrichment Problem Consider a system with potential energy given by: V ( x ) = 1 2 m 2 x 2 1. What kind of potential is this? 2. What does it mean for a function to be an eigenfunction of a system? 3. Show that: = Aex 2 is an eigenfunction of this system for a particular value of . What is the value? 4. What is the value of the energy E for this eigenfunction? 2...
View
Full
Document
 Spring '09
 mechanics

Click to edit the document details