Discrete Coherent States and Probability Distributions in Finite-Dimensional Spaces

Discrete Coherent States and Probability Distributions in Finite-Dimensional Spaces

Operator bases are discussed in connection with the construction of phase space representatives of operators in finite-dimensional spaces, and their properties are presented. It is also shown how these operator bases allow for the construction of a finite harmonic oscillator-like coherent state. Cre...

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Veröffentlicht in:Annals of Physics (New York) 1996-08, Vol.249 (2), p.454-480
Hauptverfasser: Galetti, D., Marchiolli, M.A
Format: Artikel
Sprache:eng
Schlagworte:
COHERENT STATES
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
FOCK REPRESENTATION
HARMONIC OSCILLATORS
HILBERT SPACE
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL OPERATORS
PHASE SPACE
PHYSICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
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container_title Annals of Physics (New York)
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creator Galetti, D.
Marchiolli, M.A
description Operator bases are discussed in connection with the construction of phase space representatives of operators in finite-dimensional spaces, and their properties are presented. It is also shown how these operator bases allow for the construction of a finite harmonic oscillator-like coherent state. Creation and annihilation operators for the Fock finite-dimensional space are discussed and their expressions in terms of the operator bases are explicitly written. The relevant finite-dimensional probability distributions are obtained and their limiting behavior for an infinite-dimensional space are calculated which agree with the well known results
doi_str_mv 10.1006/aphy.1996.0079
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subjects COHERENT STATES
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
FOCK REPRESENTATION
HARMONIC OSCILLATORS
HILBERT SPACE
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL OPERATORS
PHASE SPACE
PHYSICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
title Discrete Coherent States and Probability Distributions in Finite-Dimensional Spaces
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