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 50 条

[21] Q-DEFORMED OSCILLATOR ALGEBRA AS A QUANTUM GROUP
YAN, H
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (22): : L1155 - L1160
[22] Fourier transformations for the q-deformed Heisenberg algebra
Schwenk, J
QUANTUM GROUPS AND THEIR APPLICATIONS IN PHYSICS, 1996, 127 : 525 - 540
[23] INDECOMPOSABLE REPRESENTATIONS OF THE Q-DEFORMED VIRASORO ALGEBRA
LIU, KQ
MATHEMATISCHE ZEITSCHRIFT, 1994, 217 (01) : 15 - 35
[24] A calculus based on a q-deformed Heisenberg algebra
Cerchiai B.L.
Hinterding R.
Madore J.
Wess J.
The European Physical Journal C - Particles and Fields, 1999, 8 (3): : 547 - 558
[25] The Wigner function of a q-deformed harmonic oscillator model
Jafarov, E. I.
Lievens, S.
Nagiyev, S. M.
Van der Jeugt, J.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (20) : 5427 - 5441
[26] q-deformed fuzzy Ginsparg-Wilson algebra and its q-deformed Dirac and chirality operators on quantum fuzzy two-sphere
Lotfizadeh, M.
Asl, Ebrahim Nouri
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (10)
[27] q-deformed dynamics of q-deformed oscillators
Gruver, JL
PHYSICS LETTERS A, 1999, 254 (1-2) : 1 - 6
[28] New q-Deformed Oscillator Algebra and Thermodynamic Model
Won Sang Chung
International Journal of Theoretical Physics, 2014, 53 : 426 - 434
[29] Biderivations of q-deformed Heisenberg-Virasoro algebra
Yuan, Lamei
Li, Jiaxin
COMMUNICATIONS IN ALGEBRA, 2022, 50 (09) : 3651 - 3663
[30] Quantum Group Structure of the q-Deformed Virasoro Algebra
Hu N.
Letters in Mathematical Physics, 1998, 44 (2) : 99 - 103

← 1 2 3 4 5 →