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Two types of q-deformed Wigner algebra
- Authors
- Chung, Won Sang
- Issue Date
- Jul-2014
- Publisher
- WILEY-V C H VERLAG GMBH
- Citation
- FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, v.62, no.7, pp 607 - 616
- Pages
- 10
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
- Volume
- 62
- Number
- 7
- Start Page
- 607
- End Page
- 616
- ISSN
- 0015-8208
1521-3978
- Abstract
- In this paper we introduce two types of q-deformed Wigner algebras. One is q-deformation of Wigner algebra with q-reflection symmetry and another is q-deformation of Wigner algebra with reflection symmetry. For two types of q-deformed Wigner algebras, we investigate the representation and the eigenvalue of the position operator. Like q-calculus, we introduce the (q,nu)-numbers, (q,nu)-derivatives and (q,nu)-Hermite polynomials for two algebras. For the deformation parameter q = 1 - epsilon with small epsilon, we discuss the thermodynamics of the particle obeying the q-deformed Wigner algebra. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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