Two types of q-deformed Wigner algebra

被引：0

作者：

Chung, Won Sang ^{[1
,2
]}

机构：

[1] Gyeongsang Natl Univ, Coll Nat Sci, Dept Phys, Jinju 660701, South Korea

[2] Gyeongsang Natl Univ, Coll Nat Sci, Res Inst Nat Sci, Jinju 660701, South Korea

来源：

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2014年 / 62卷 / 07期

关键词：

HARMONIC-OSCILLATOR; FOCK SPACE; SYSTEMS;

D O I：

10.1002/prop.201400001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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

引用

页码：607 / 616

页数：10

共 17 条

[1] HILBERT SPACES OF ANALYTIC-FUNCTIONS AND GENERALIZED COHERENT STATES [J].