Coherent states: Theory and some applications
Journal Article
·
· Reviews of Modern Physics; (USA)
- University of Washington, Seattle, Washington 98195 (USA). Institute for Nuclear Theory, Department of Physics, FM-15 Department of Physics Atmospheric Science, Drexel University, Philadelphia, PA (USA). Department of Physics Atmospheric Science
- Drexel University, Philadelphia, PA (USA). Department of Physics and Atmospheric Science
In this review, a general algorithm for constructing coherent states of dynamical groups for a given quantum physical system is presented. The result is that, for a given dynamical group, the coherent states are isomorphic to a coset space of group geometrical space. Thus the topological and algebraic structure of the coherent states as well as the associated dynamical system can be extensively discussed. In addition, a quantum-mechanical phase-space representation is constructed via the coherent-state theory. Several useful methods for employing the coherent states to study the physical phenomena of quantum-dynamic systems, such as the path integral, variational principle, classical limit, and thermodynamic limit of quantum mechanics, are described.
- OSTI ID:
- 5839105
- Journal Information:
- Reviews of Modern Physics; (USA), Journal Name: Reviews of Modern Physics; (USA) Vol. 62:4; ISSN 0034-6861; ISSN RMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
ALGORITHMS
BANACH SPACE
DOCUMENT TYPES
DYNAMICAL GROUPS
ELECTRONIC EQUIPMENT
EQUIPMENT
FERMIONS
FEYNMAN PATH INTEGRAL
HARMONIC OSCILLATORS
HILBERT SPACE
INTEGRALS
MATHEMATICAL LOGIC
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
OSCILLATORS
PHASE SPACE
QUANTUM MECHANICS
REVIEWS
SPACE
SYMMETRY GROUPS
TOPOLOGY
VARIATIONAL METHODS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
ALGORITHMS
BANACH SPACE
DOCUMENT TYPES
DYNAMICAL GROUPS
ELECTRONIC EQUIPMENT
EQUIPMENT
FERMIONS
FEYNMAN PATH INTEGRAL
HARMONIC OSCILLATORS
HILBERT SPACE
INTEGRALS
MATHEMATICAL LOGIC
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
OSCILLATORS
PHASE SPACE
QUANTUM MECHANICS
REVIEWS
SPACE
SYMMETRY GROUPS
TOPOLOGY
VARIATIONAL METHODS