J. Klauder
Dept. of Physics and Mathematics, University of Florida
Gainesville FL 32611, USA
Abstract:
After a brief review of classical constraints, these lectures will focus
on recently developed procedures---generally referred to as the "projection
operator method"---for quantization of systems with constraints. It will
be shown how a single, universal quantization procedure encompasses all
constraint situations, e.g., first class, closed or open, anomalous, second
class, irreducible or reducible, regular or irregular, etc. The projection
operator method involves only the original dynamical and (c-number) Lagrange
multiplier variables; there is no gauge fixing, no Faddeev-Popov determinant,
no Gribov ambiguity, no ghosts, etc. A number of examples will be discussed.