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New q-Deformed Oscillator Algebra and Thermodynamic Model
- Authors
- Chung, Won Sang
- Issue Date
- Feb-2014
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- Keywords
- New q-oscillator algebra; Specific heat
- Citation
- INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, v.53, no.2, pp 426 - 434
- Pages
- 9
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
- Volume
- 53
- Number
- 2
- Start Page
- 426
- End Page
- 434
- ISSN
- 0020-7748
1572-9575
- Abstract
- In this paper we propose the new q-oscillator algebra. We discuss the coherent state and the deformed su(2) algebra for this algebra when q is real. As is different from Arik-Coon algebra (J. Math. Phys. 17:524, 1976), this algebra is invariant under the hermitian conjugation for complex q. When q is a root of unity, we obtain the finite dimensional Fock space. Finally we discuss the thermodynamics of particle obeying this algebra when q is a root of unity.
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