Chapter 1
Symmetries in Quantum
Mechanics
1.1
Introduction
You can think of this Chapter as a renement of what you have learned already.
It is a quite beautiful (and useful!) renement.
In many problems the actual dynamics of a system are not completely kn
Brad Klee
1/23/2013
Three-Well System
A potential with three wells in sequence connes a physical object to exist in a combination of three
discrete states. The energy for this system includes self energy E0 , as well as energy from interaction
between nea
Quantum Mechanics II
Spring 2013
Course webpage: http:/comp.uark.edu/sbarraza/QM2.html
Instructor: Salvador Barraza-Lopez, sbarraza@uark.edu.
Class schedule: M 11:00-11:50, WF 10:30-11:20 in Room SCEN 404.
Tentative oce hours: Tuesday 8:30-10:00 AM, Thurs
Homework 1. Quantum Mechanics II
Problems
1. The rst problem has to do with the three-well conguration. The Hamiltonian with the interactions
turned on will look as follows:
E0
.
H = E0 .
(1)
E0
(a) Find the eignevalues P and associated eigenvectors of