**University**** of Maryland**

**Physics 402----Quantum Physics
II----Spring 2005**

**Instructor:** Prof. Thomas Cohen (I prefer to be
addressed as Tom)

**Office: **2104 (

**Phone:** 5-6117 (Office); 301-654-7702 (Home)

**E-mail:** __cohen@Phvsics.umd.edu
__

** **

**Grader: **Qiang Liu

**Phone:** 5-6192

**E-mail:** qiangliu@umd.edu

** **

** **

**Problem Sets: Due February 4, Due February 11,**

**Due February 18, Due February 25 , Due March 4
, Due March 11, Due
March 28,**** Due April 1,
Due April 8, Due April 15
, Due April 22, Due April
29 , Due May
6**

**Solutions: Solution 1, Solution 2**,** Solution 3, Solution 4, Solution 5, Solution 6, Solution 7,
Solution 8, Solution 9
, Solution 10, Solution
11, Solution 12, Solution
13**

**Office Hours**

Office hours are immediately following class. I am also generally available in my office and happy to see students; just drop by--or, better yet, give me a call and then drop by.

**Course Philosophy**

The basic
formalism of quantum mechanics was developed in Physics 401. Physics 402
has three main purposes: i) to generalize the basic framework so that we can
study problems in three dimensions, problems with spin degrees of freedom and
many-body systems. ii) to use quantum mechanics to study physical problems of
interest particularly in atomic and solid state physics and iii) to
develop approximation methods which allow us study problems which are not
tractable for exact solution and which give insight into the underlying
physics.

**Books**

The principal text for the
course is Liboff's *Introductory Quantum Mechanics. *The book is
very readable and clear.

**Homework**

Problem sets will be
assigned regularly. Problem sets may require the use of numerical analysis that
can be done in *Mathematica *or some other computer program. I strongly
encourage students to consult each other on problem sets. Ideally you should
attempt all of the problems by yourselves and if you get stuck you should then
consult your peers.

Homework will count approximately 20% of the final grade.

**
Exams**

There will be a midterm exam and a final exam in this course. The exams will count for approximately 85% of the total course grade. The date of the mid-term exam will be announced in class.

The
exams are currently planned as take-home. Take-home exams have two virtues:
they reduce the time pressure on students and allow them to perform at their
best and they allow for questions that are less trivial than can be done during
a class period. They do have a potential drawback, however. They are impossible
to police efficiently against cheating. Thus, we must rely on your integrity. I
will ask you to pledge to do the exams alone and to stick to this pledge. I
should note that the whole enterprise of science depends on the integrity of
the researchers--- when I read a scientific paper I must assume that the
researchers didn't cook the books or I won't get anywhere.

** **** **

**
Honor Pledge**

The

**"I pledge on my
honor that I have not given or received an unauthorized assistance on this
assignment/examination."**

For Physics 402, problem sets are exempt from the honor pledge. Indeed, for problem sets, I actively encourage students to collaborate. However, the honor pledge should be taken for exams.

Note that it is not mandatory for students to take this pledge but they are bound by the University’s Code of Academic Integrity regardless of whether they take the pledge.

** **

** **

**
****Tentative
Course Outline**

**Quantum Mechanics in Two&Three Dimensions
(Chapters
8-11) **

· Generalizing the Hilbert space to add degrees of freedom

· Quantum mechanics in two and three dimensions

· Central force problems and spherical Harmonics

· Angular momentum

· Generalization to many particles

· Two particle systems and the reduced mass

· The hydrogen atom

· Spin

**Applications of Quantum Mechanics with two or more particles
(Chapter 12)**

· Identical particles and exchange symmetry---fermions and bosons

· Aspects of atomic physics---role of the Pauli principle

· Aspects of solid state physics

· Aspects of nuclear physics

**Approximation Methods in Quantum Mechanics (Chapters 13)**

· Time-independent perturbation theory

· Applications of time independent perturbation theory in atomic physics

· Brief treatment of other time independent approximation methods---variational and WKB approximations

· Time-dependent perturbation theory

· Application to two level systems

· The sudden and adiabatic approximations

**Scattering theory
(Chapter 14 if time permits)**

· Meaning of Cross-Section

· Partial wave analysis and phase shifts

· The Born approximation