Constraints, Hermiticity, and Correspondence
Journal Article
·
· Phys. Rev., D; (United States)
In order to expose the essential features of the quantization of a theory with constraints, we consider the most elementary system, that of a free particle. We show that even for this simple system, when expressed in a constraint formalism, it requires the introduction of an indefinite metric in the Hilbert space, non-Hermitian constraints, and indeed most other features which we have come to associate with the Gupta-Bleuler formalism of electrodynamics. By introducing a conceptually new object, the quasiobservable, we show how an Ehrenfest correspondence principle may be obtained for the resulting quantum theory.
- Research Organization:
- Yeshiva University, Department of Natural Sciences and Mathematics, 2495 Amsterdam Avenue, New York, New York 10033
- OSTI ID:
- 6249268
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 19:10; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
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645400 -- High Energy Physics-- Field Theory
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GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
CLASSICAL MECHANICS
EINSTEIN FIELD EQUATIONS
ELECTRODYNAMICS
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FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
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MATHEMATICAL SPACE
MECHANICS
QUANTUM FIELD THEORY
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