Geometric quantization and gravitational collapse
Journal Article
·
· Phys. Rev., D; (United States)
The Kostant-Souriau method of geometric quantization is applied to homogeneous and isotropic cosmological models with positive intrinsic curvature and a massless Klein-Gordon scalar field. These models are studied because classically they collapse to a singularity. It is rigorously shown that the quantized models collapse as well (so that there is no ''quantum bounce''). This work demonstrates the practical usefulness of geometric quantization for the study of physical systems.
- Research Organization:
- Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada
- OSTI ID:
- 5208899
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 22:2; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640106* -- Astrophysics & Cosmology-- Cosmology
645400 -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
COSMOLOGICAL MODELS
DIAGRAMS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EUCLIDEAN SPACE
FEYNMAN DIAGRAM
FEYNMAN PATH INTEGRAL
FIELD THEORIES
GRAVITATIONAL COLLAPSE
GRAVITATIONAL FIELDS
HAMILTONIANS
HILBERT SPACE
INTEGRALS
KLEIN-GORDON EQUATION
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
QUANTUM GRAVITY
QUANTUM OPERATORS
RIEMANN SPACE
SCALAR FIELDS
SEMICLASSICAL APPROXIMATION
SPACE
SPACE-TIME
WAVE EQUATIONS
645400 -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
COSMOLOGICAL MODELS
DIAGRAMS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
EUCLIDEAN SPACE
FEYNMAN DIAGRAM
FEYNMAN PATH INTEGRAL
FIELD THEORIES
GRAVITATIONAL COLLAPSE
GRAVITATIONAL FIELDS
HAMILTONIANS
HILBERT SPACE
INTEGRALS
KLEIN-GORDON EQUATION
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
QUANTUM GRAVITY
QUANTUM OPERATORS
RIEMANN SPACE
SCALAR FIELDS
SEMICLASSICAL APPROXIMATION
SPACE
SPACE-TIME
WAVE EQUATIONS