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
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页码：607 / 616
页数：10
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