## Physics 506: Quantum Mechanics II (Spring 2014)

### MWF 10:00-12:05, 502 Reiss (MWF)

**Office: 552 Reiss**

**Office Hours: T Th 11:00-12:00, or by appointment.
I am in most times.**

Email: `freericks@physics.georgetown.edu`

**Telephone: (202) 687-6159**

### Course Description

This course is an introduction to the more advanced ideas of quantum mechanics.
Our learning goals are for you to become agile with performing quantum
mechanics calculations at the level of a graduate student, and to provide
you with the minimum set of tools needed for independent research. In
addition, we intend to have you develop a better understanding of what
quantum mechanics means and how one interprets experiments with
quantum understanding.
We will begin with the raising and lowering operators of a simple harmonic
oscillator, a review of angular momentum and addition of angular momentum,
the bound states of the Hydrogen atom,
a review of nondegenerate perturbation theory, and a development
of degenerate perturbation theory. Next we talk about scattering with an
application to alkali atoms and describe the phenomena of a Feshbach resonance.
We then describe time-dependent phenomena
in quantum mechanics, including time-ordered products, evolution operators,
and perturbation theory. We also briefly describe Fermi's golden rule,
the sudden approximation, and the creation of light from atomic
hydrogen. Next we will describe the interaction of atoms with lasers and
magnetic fields including trapping atoms.
Then we move onto Fermionic problems, starting with
the creation and annihilation operators and how they apply to simple
models of interacting particle, followed by a thorough discussion of the Hubbard
model, which illustrates many different correlated phenomena ranging from
antiferromagnetism to ferromagnetism.

**View this syllabus at
http://www.physics.georgetown.edu/~jkf/grad_quant2/grad_quant2.html.**

### Quantum Mechanics Developers we will meet in this course

### Some Advice

This course will have twelve homework assignments, a midterm, and a final. The
midterm is on **February 28**. Most of the readings come from
Gottfried's *Quantum Mechanics I: Fundamentals* and Ziman's *
Elements of Advanced Quantum Theory*, and original research articles.
Assigned reading must be completed **before** the lecture where the material
will be presented. Note that we will be using more of a tutorial than lecture
style for the class.
In order to deliver the material in a more relaxed fashion,
we will meet informally after the lecture period to
complete lecture materials, discuss homework problems, and answer questions.
Come prepared to think.

**Syllabus**

** Homework Schedule**

**Grading Policy**

Last modified January 2 , 2014
Jim Freericks, Professor of Physics,
freericks@physics.georgetown.edu