Published July 1, 2014
| Version v1
Journal article
Two types of q-deformed Wigner algebra
Creators
- 1. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju (Korea, Republic of)
Description
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; ν)- numbers, (q; ν)-derivatives and (q; ν)-Hermite polynomials for two algebras. For the deformation parameter q = 1 - ε with small ε, we discuss the thermodynamics of the particle obeying the q-deformed Wigner algebra. (Copyright copyright 2014 WILEY-VCH Verlag GmbH and Co. KGaA, Weinheim)
Availability note (English)
Available from: http://dx.doi.org/10.1002/prop.201400001Additional details
Identifiers
Publishing Information
- Journal Title
- Fortschritte der Physik (Online)
- Journal Volume
- 62
- Journal Issue
- 7
- Journal Page Range
- p. 607-616
- ISSN
- 1521-3978
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 45088041
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; COMMUTATION RELATIONS; EIGENVALUES; ENTROPY; EXCITED STATES; GROUND STATES; HAMILTONIANS; HERMITE POLYNOMIALS; HERMITIAN OPERATORS; LINEAR MOMENTUM OPERATORS; P INVARIANCE; PARTITION FUNCTIONS; POSITION OPERATORS; QUANTUM MECHANICS; STORED ENERGY; SYMMETRY; WAVE FUNCTIONS; WIGNER THEORY
- Descriptors DEC
- ENERGY; ENERGY LEVELS; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; PHYSICAL PROPERTIES; POLYNOMIALS; QUANTUM OPERATORS; THERMODYNAMIC PROPERTIES
Optional Information
- Notes
- 1 fig., 15 refs.