Discrete Coherent States and Probability Distributions in Finite-Dimensional Spaces
✍ Scribed by D. Galetti; M.A Marchiolli
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 1000 KB
- Volume
- 249
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
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 oscillatorlike 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.