Discrete coherent states and probability distributions in finite-dimensional spaces
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1996-08-01
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Academic Press Inc. Jnl-comp Subscriptions
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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. (C) 1996 Academic Press, Inc.
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Annals of Physics. San Diego: Academic Press Inc. Jnl-comp Subscriptions, v. 249, n. 2, p. 454-480, 1996.