Chapter 15
Time Evolution in Quantum Mechanics
P
hysical systems are, in general, dynamical, i.e. they evolve in time. The dynamics of classical
mechanical systems are described by Newtons laws of mot
Physics 7502: Homework Set No. 9
Due date: Tuesday, March 29, 2016, 5:00pm
in PRB M2039 (Bowen Shis office)
Total point value of set: 50 points
Problem 1 (50 pts.):
An electron is in the ground state
Physics 7502: Homework Set No. 6
Due date: Tuesday, Feb. 23, 2016, 5:00pm
in PRB M2039 (Bowen Shis office)
Total point value of set: 100 points
~ +
~
~ ( R) commute with L
~ ?
Problem 1 (5 pts.): Un
Physics 7502: Homework Set No. 7
Due date: Tuesday, March 8, 2016, 5:00pm
in PRB M2039 (Bowen Shis office)
Total point value of set: 50 points
Problem 1 (10 pts.):
If H()
has eigenvector |n ()i, prove
Physics 7502: Homework Set No. 11
Due date: Tuesday, April 19, 2016, 5:00pm
in PRB M2039 (Bowen Shis office)
Total point value of set: 100 points
Problem 1 (5 pts.): Exercise 19.5.1 (Shankar, p. 546)
Chapter 14
Probability, Expectation Value and Uncertainty
W
e have seen that the physically observable properties of a quantum system are represented
by Hermitean operators (also referred to as observ
Physics 7502: Homework Set No. 12
Due date: Tuesday, April 26, 2016, 5:00pm
in PRB M2039 (Bowen Shis office)
Total point value of set: 100 points
Problem 1 (5 pts.): Exercise 19.6.2 (Shankar, p. 561)
CHAPTER V
One-Dimensional Potential Wells and Barriers
Part I. The Delta Function Potential
Introduction
So far, we have encountered two very different types of solution to the time
independent Schrdi
Physics 7502: Homework Set No. 8
Due date: Tuesday, March 22, 2016, 5:00pm
in PRB M2039 (Bowen Shis office)
Total point value of set: 80 points
Problem 1 (10 pts.): Exercise 18.2.3 (Shankar, p. 478)
P
Chapter 8
Vector Spaces in Quantum Mechanics
W
e have seen in the previous Chapter that there is a sense in which the state of a quantum
system can be thought of as being made up of other possible sta
Chapter 6
Particle Spin and the Stern-Gerlach Experiment
T
he spin of an elementary particle would appear, on the surface, to be little different from the
spin of a macroscopic object the image of a m
Chapter 7
Probability Amplitudes
E
vidence was presented in the preceding Chapter that under certain circumstances physical systems of quite disparate nature, but usually on the atomic scale, have the
Physics 7502: Homework Set No. 10
Due date: Tuesday, April 5, 2016, 5:00pm
in PRB M2039 (Bowen Shis office)
Total point value of set: 40 points
Problem 1 (10 pts.):
0
Show by explicit differentiation