Semiclassical Analysis of Constrained Quantum Systems

Journal Article · Tue Dec 15 00:00:00 EST 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3284397· OSTI ID:21371380

Tsobanjan, Artur ^[1]

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1. Institute for Gravitation and the Cosmos, Pennsylvania State University, 104 Davey Lab, University Park, PA 16802 (United States)

Exact procedures that follow Dirac's constraint quantization of gauge theories are usually technically involved and often difficult to implement in practice. We overview an 'effective' scheme for obtaining the leading order semiclassical corrections to the dynamics of constrained quantum systems developed elsewhere. Motivated by the geometrical view of quantum mechanics, our method mimics the classical Dirac-Bergmann algorithm and avoids direct reference to a particular representation of the physical Hilbert space. We illustrate the procedure through the example of a relativistic particle in Minkowski spacetime.

• OSTI ID: 21371380
• Journal Information: AIP Conference Proceedings, Vol. 1196, Issue 1; Conference: 25. Max Born symposium, Wroclaw (Poland), 29 Jun - 3 Jul 2009; Other Information: DOI: 10.1063/1.3284397; (c) 2009 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
CORRECTIONS
DIRAC EQUATION
GAUGE INVARIANCE
HILBERT SPACE
MINKOWSKI SPACE
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM MECHANICS
RELATIVISTIC RANGE
SEMICLASSICAL APPROXIMATION
SPACE-TIME
WAVE FUNCTIONS
APPROXIMATIONS
BANACH SPACE
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL LOGIC
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
WAVE EQUATIONS