Department of Mathematics
SUNY at Stony Brook
Spring 2008
The purpose of this course,
which is the part of the RTG program, is to introduce mathematics
students to the basic concepts and methods of quantum physics,
including sypersymmetry and Feynman's path integral, which play a
profound role in geometry, topology, and other areas of mathematics.
For the physics students, the course may serve as a (rather
simplified) "dictionary" between mathematical and physical
"languages". No prior knowledge of physics will be assumed
for mathematics students.
Schedule: MWF 11:45am-12:40pm PhysicsP130
Instructor: Michael
Movshev, Math Tower 4-109, Phone: 632-8287, Office hours
TBA.
E-mail: mmovshev ad math dot sunysb dot edu
Topics covered:
Mathematical
methods of classical mechanics, including Lagrangian and Hamiltonian
formalisms, symmetries and conservation laws Mathematical
foundation of quantum mechanics, including Heisenberg, Schrodinger
and holomorphic representations and deformation quantization Feynman's
path integral formalism and related Wiener's theory of functional
integration Perturbation
theory and Feynman diagrams Regularized
determinants of elliptic operators Sypersymmetry and
path integral formalism for fermions
DSS advisory. If you have a physical,
psychological, medical, or learning disability that may affect your
course work, please contact Disability Support Services (DSS) office:
ECC (Educational Communications Center) Building, room 128, telephone
(631) 632-6748/TDD. DSS will determine with you what accommodations
are necessary and appropriate. Arrangements should be made early in
the semester (before the first exam) so that your needs can be
accommodated. All information and documentation of disability is
confidential. Students requiring emergency evacuation are encouraged
to discuss their needs with their professors and DSS. For procedures
and information, go to the following web site
http://www.ehs.sunysb.edu
and search Fire safety and Evacuation and Disabilities.
Prerequisites:
The basic core courses curriculum and MAT 551, MAT 552, MAT 568, MAT
569.