A (P, Q)-OSCILLATOR REALIZATION OF 2-PARAMETER QUANTUM ALGEBRAS

被引：338

作者：

CHAKRABARTI, R ^{[1
]}

JAGANNATHAN, R ^{[1
]}

机构：

[1] INST MATH SCI,MADRAS 600113,INDIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 13期

关键词：

D O I：

10.1088/0305-4470/24/13/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is noted that the study of a quantum algebra su(p,q)(2), with two independent deformation parameters (p, q), leads to a '(p, q)-oscillator' realization for it. The analysis is extended to the (p, q)-analogues of su(1, 1), osp(2\1) and the centreless Virasoro algebra. The standard single-parameter (q) deformations are obtained in the limit p = q.

引用

页码：L711 / L718

页数：8

共 35 条

[31] THE 2-PARAMETER DEFORMATION OF GL(2), ITS DIFFERENTIAL-CALCULUS, AND LIE-ALGEBRA
SCHIRRMACHER, A
WESS, J
ZUMINO, B
[J]. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 49 (02): : 317 - 324
[32] CONSISTENT MULTIPARAMETER QUANTIZATION OF GL(N)
SUDBERY, A
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (15): : L697 - L704
[33] A 12-PARAMETER QUANTIZATION OF GL(N) - (SUMMARY)
TAKEUCHI, M
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1990, 66 (05) : 112 - 114
[34] REPRESENTATIONS OF A PAIR OF PARA-BOSE OPERATORS USING GRADED LIE ALGEBRAIC-METHOD
UMA, SN
[J]. PHYSICA SCRIPTA, 1981, 24 (06): : 938 - 940
[35] [No title captured]

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