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f-Deformed Boson Algebra Related to Gentile Statistics
- Authors
- Chung, Won Sang; Hassanabadi, Hassan
- Issue Date
- Jun-2017
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- Keywords
- Deformed boson; Gentile distribution
- Citation
- INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, v.56, no.6, pp 1746 - 1756
- Pages
- 11
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
- Volume
- 56
- Number
- 6
- Start Page
- 1746
- End Page
- 1756
- ISSN
- 0020-7748
1572-9575
- Abstract
- In this paper the deformed boson algebra giving the Gentile distribution function is constructed by using the model of ideal gas of deformed bosons and some properties of a root of unity. As an example we discuss the quantum optical problem related to the Gentile (or f-deformed) boson algebra with large but finite M. For this algebra we construct the Gentile (or f-deformed) coherent state and discuss its nonclassical properties such as sub-Poissonian statistics and anti-bunching effect.
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