
PHY 6645 Quantum Mechanics 1
Fall 2003
This is the first of two courses constituting the graduate core sequence in
quantum mechanics.
The second course (PHY 6646 Quantum Mechanics 2) is taught in the spring
semester.
Use the buttons at left to access pages for Fall 2003.
You can also view archived information for
Fall 2001
and Fall 2002.
Overview
PHY 6645 is designed for students who have already had at least one year of
quantum mechanics at the undergraduate level.
It covers the fundamental concepts of nonrelativistic quantum mechanics,
the quantum dynamics of a single particle, symmetries and their consequences,
and the theory of angular momentum.
PHY 6646 treats approximation methods, scattering theory, and manyparticle
systems.
Textbooks
All students taking the course will be expected to have access to Shankar.
The other three texts are recommended but not required.
Note that Ballentine's book is available online (see the UF Libraries'
Catalog at www.uflib.ufl.edu).
R. Shankar, Principles of Quantum Mechanics, 2nd edition, Plenum Press,
1994 (required text).


The course will generally follow the approach used in this book, which builds
up a quantum mechanical description of physical systems from a few simple
postulates.
Many readers find Shankar to be a very helpful in learning the subject.
The main ideas are laid out clearly and logically. In places, however,
the text stops short of the level of rigor or detail appropriate for a
graduate course, so supplementary material will be presented in the lectures.
At these points the recommended texts below may prove particularly useful.


L. E. Ballentine, Quantum Mechanics: A Modern Development, 2nd edition,
World Scientific Publishing, 1998 (recommended text).


Follows an axiomatic approach similar to Shankar's, but at a more rigorous
level.
Contains many typographic errors, and is sketchy on some important topics,
but is the only one of the four texts to come to grips with such fundamental
issues as the physical interpretation of the wave function and the procedure
for quantizing classical systems (issues concerning which the author
vehemently expresses his opinions).


E. Merzbacher, Quantum Mechanics, 3rd edition, John Wiley & Sons, 1998
(recommended text).


Most complete of the four texts, but also the most oldfashioned in its
style of presentation, and perhaps the least illuminating in it discussion.
Useful for filling in many details once the main ideas of quantum mechanics
have been understood.


J. J. Sakurai, Modern Quantum Mechanics, revised edition, AddisonWesley
Publishing, 1994 (recommended text).


A sophisticated graduatelevel text, which omits elementary wave mechanics
but contains many modern topics.
The first few chapters are superb and full of insight, but the second half of
the book is uneven in quality.

Further Information
For additional material on the goals and organization of the course,
see the syllabus.
