QUANTUM MECHANICS

M393c   # 52120   FALL, 1995    Tues-Thurs 11:00-12:30

Instructor: Charles Radin

This course will introduce the standard mathematical apparatus of
modern (quantum) science, namely the theory of operators on
Hilbert space. The material will be presented together with its
relationship to elementary quantum mechanics, and thus the 
following physical ideas will be introduced: Schroedinger's
equation, Heisenberg's uncertainty principle, spin, Bose and Fermi
statistics, Hamiltonian spectra, etc.

The only prerequisite is M365c, undergraduate analysis, and
in particular no physics background is assumed. Besides
the Hilbert space theory, it is hoped that any student of
mathematics (not just those in applied mathematics) would find
this course a valuable introduction to the vocabulary, way of
thinking and tools of a significant portion of modern science
and technology.

There are two basic aims of this course: an introduction to the
mathematics of operators on Hilbert space, and an introduction to the
physics of quantum mechanics. The lectures will be aimed
at a diverse audience of graduate students in science and mathematics,
and will attempt to accommodate a diversity of backgrounds.

Prerequisites: as noted above

Textbook: none required

Consent of Instructor: not required

For more information: Charles Radin
RLM 12.114
471-0174