THE QUANTUM HEISENBERG-GROUP H(1)Q

被引：104

作者：

CELEGHINI, E ^{[1
]}

GIACHETTI, R ^{[1
]}

SORACE, E ^{[1
]}

TARLINI, M ^{[1
]}

机构：

[1] IST NAZL FIS NUCL,SEZIONE FIRENZE,I-50125 FLORENCE,ITALY

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 05期

关键词：

D O I：

10.1063/1.529311

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The structure of the quantum Heisenberg group is studied in the two different frameworks of the Lie algebra deformations and of the quantum matrix pseudogroups. The R-matrix connecting the two approaches, together with its classical limit r, are explicity calculated by using the contraction technique and the problems connected with the limiting procedure discussed. Some unusual properties of the quantum enveloping Heisenberg algebra are shown.

引用

页码：1155 / 1158

页数：4

共 17 条

[1] THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS
BIEDENHARN, LC
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18): : L873 - L878
[2] 3-DIMENSIONAL QUANTUM GROUPS FROM CONTRACTIONS OF SU(2)Q
CELEGHINI, E
GIACHETTI, R
SORACE, E
TARLINI, M
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (11) : 2548 - 2551
[3] CELEGHINI E, 1990, YITPK865 KYOT U PREP
[4] CELEGHINI E, IN PRESS MOD PHYS B
[5] ON THE POLAR DECOMPOSITION OF THE QUANTUM SU(2) ALGEBRA
CHAICHIAN, M
ELLINAS, D
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07): : L291 - L296
[6] DEFORMING MAPS FOR QUANTUM ALGEBRAS
CURTRIGHT, TL
ZACHOS, CK
[J]. PHYSICS LETTERS B, 1990, 243 (03) : 237 - 244
[7] Drinfeld V.G., 1986, P INT C MATH, V1, P789
[8] FADDEEV L, 1989, BRAID GROUP KNOT THE
[9] INTRODUCTION TO THE YANG-BAXTER EQUATION
JIMBO, M
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (15): : 3759 - 3777
[10] KULISH PP, 1990, KONTRAKTZIA KVANTOVI

← 1 2 →