Q-ANALOGS OF THE PARABOSE AND PARAFERMI OSCILLATORS AND REPRESENTATIONS OF QUANTUM ALGEBRAS

被引：66

作者：

FLOREANINI, R ^{[1
]}

VINET, L ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES, DEPT PHYS, LOS ANGELES, CA 90024 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 19期

关键词：

D O I：

10.1088/0305-4470/23/19/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Deformations of the one-dimensional parabose oscillators are presented. They are shown to provide Fock representations of the quantum sp q(2) algebra and ospq(1, 2) superalgebra. The representations of su q(2) are used to define the q-analogues of the parafermi oscillators.

引用

页码：L1019 / L1023

页数：5

共 21 条

[1] THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS [J].

BIEDENHARN, LC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :L873-L878

[2] QUANTUM LIE-SUPERALGEBRAS AND Q-OSCILLATORS [J].

CHAICHIAN, M ;

KULISH, P .

PHYSICS LETTERS B, 1990, 234 (1-2) :72-80

[3] Q-DEFORMED JACOBI IDENTITY, Q-OSCILLATORS AND Q-DEFORMED INFINITE-DIMENSIONAL ALGEBRAS [J].

CHAICHIAN, M ;

KULISH, P ;

LUKIERSKI, J .

PHYSICS LETTERS B, 1990, 237 (3-4) :401-406

[4] ON THE POLAR DECOMPOSITION OF THE QUANTUM SU(2) ALGEBRA [J].

CHAICHIAN, M ;

ELLINAS, D .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07) :L291-L296

[5]

DEVCHAND C, 1989, THEP8912 FREIB U PRE

[6]

DHOKER E, 1990, UCLA90TEP28 PREPR

[7]

FLOREANINI R, 1990, UCLA90TEP21 PREPR

[8]

FLOREANINI R, 1990, IN PRESS PHYS LETT B

[9] A LIE SUPERALGEBRAIC INTERPRETATION OF THE PARA-BOSE STATISTICS [J].

GANCHEV, AC ;

PALEV, TD .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :797-799

[10] Q-ANALOGS OF CLIFFORD AND WEYL ALGEBRAS - SPINOR AND OSCILLATOR REPRESENTATIONS OF QUANTUM ENVELOPING-ALGEBRAS [J].

HAYASHI, T .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 127 (01) :129-144

← 1 2 3 →