Problem solutions, 2 May 20121
D. E. Soper2
University of Oregon
9 May 2012
Here is a solution for problem 5.22, which seemed to cause the most diculty.
Problem 5.22 The expectation value of x is
t
x(t) = i 0 xI (t)
t
d VI ( ) 0 + i 0
0
d VI ( )xI (t) 0
.
Problem solutions, 9 May 20121
D. E. Soper2
University of Oregon
16 May 2012
Here is a solution for problem 5.38, which seemed to cause the most diculty.
Please check the algebra: there could be errors.
Problem 5.38 With a potential V0 cos(kz t), we write
Problem solutions, 18 April 20121
D. E. Soper2
University of Oregon
27 April 2012
Problem 5.1 is pretty simple, so I do not write out the solutions.
Problem 5.2 The probability to nd the unperturbed eigenstate k (0) in
the exact eigenstate k () is
P=
| k
Problem solutions, 25 April 20121
D. E. Soper2
University of Oregon
30 April 2012
Problems 5.20 and 5.21 were pretty simple, so I do not write out the solutions,
but here is a solution for problem 5.12.
Problem 5.12 We are asked to nd the eigenvalues of t
Choice of units for quantum mechanics1
D. E. Soper2
University of Oregon
10 October 2011
1
Introduction
People like me who do elementary particle physics usually like their physics
formulas to be uncluttered. More specically, formulas in our book (and
mos
Vectors for quantum mechanics1
D. E. Soper2
University of Oregon
5 October 2011
I oer here some background for Chapter 1 of J. J. Sakurai, Modern
Quantum Mechanics.
1
Vectors over the complex numbers
What is a vector? One can take two approaches, one very
Final exam
PHYS 633, Quantum Mechanics
7 June, 2011
D. E. Soper
There are ve problems. Please answer them on the sheets of paper
provided. Please label each sheet with your name clearly label the problem
numbers. I am looking for not only an answer in the
Midterm exam
PHYS 633, Quantum Mechanics
4 May, 2011
D. E. Soper
There are three problems. Please answer them on separate sheets of paper
provided. Please label each sheet with your name and the problem number.
I am looking for not only an answer in the f
Decay width calculation1
D. E. Soper2
University of Oregon
21 May 2012
Abstract
I oer here a solution for exercise 12.1 in the notes on time dependent perturbation theory.
1
Problem setup
We need to calculate
dk 2 (E2 + E1 )
=
1, 0, 0; k, V 2, 1, m; 0
2
.