Geometry of the Dirac and reduced phase space quantization of constrained systems
Abstract
Geometric properties of operators of quantum Dirac constraints and physical observables are studied in semiclassical theory of generic constrained systems. The invariance transformations of the classical theory  contact canonical transformations and arbitrary changes of constraint basis  are promoted to the quantum domain as unitary equivalence transformations. Geometry of the quantum reduction of the Dirac formalism to the physical sector of the theory is presented in the coordinate gauges and extended to unitary momentumdependent gauges of a general type. The operators of physical observables are constructed satisfying oneloop quantum gauge invariance and Hermiticity with respect to a physical inner product. Abelianization procedure on Lagrangian constraint surfaces of phase space is discussed in the framework of the semiclassical expansion.
 Publication:

arXiv eprints
 Pub Date:
 December 1996
 arXiv:
 arXiv:grqc/9612003
 Bibcode:
 1996gr.qc....12003B
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 26 pages, LaTeX, geometry of quantum reduction to the physical sector is extended to unitary gauges of a general type