THE QUANTUM SUPERALGEBRA B-q(0 vertical bar 1) AND q-DEFORMED CREATION AND ANNIHILATION OPERATORS

被引：33

作者：

Celeghini, E. ^{[1
]}

Palev, T. D. ^{[2
]}

Tarlini, M. ^{[1
]}

机构：

[1] Univ Florence, Dipartmento Fis, INFN, Sez Firenze, I-50125 Florence, Italy

[2] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 606, Japan

来源：

MODERN PHYSICS LETTERS B | 1991年 / 5卷 / 03期

关键词：

D O I：

10.1142/S021798499100023X

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We show that the q-deformed creation and annihilation boson operators defined by Biedenharn and Mcfarlane generate the quantum superalgebra B(0 vertical bar 1), denoted also as osp(q)(1 vertical bar 2), and we give a generalization to q-deformed parabosons and fermions using the infinite dimensional representations of such Hopf algebra.

引用

页码：187 / 193

页数：7

共 14 条

[1]

Biedenharn L. C., 1989, J PHYS A, VA22, P117

[2] 3-DIMENSIONAL QUANTUM GROUPS FROM CONTRACTIONS OF SU(2)Q [J].

CELEGHINI, E ;

GIACHETTI, R ;

SORACE, E ;

TARLINI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (11) :2548-2551

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

CHAICHIAN, M ;

KULISH, P .

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

[4]

Floreanini R., INFN9004

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

GANCHEV, AC ;

PALEV, TD .

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

[6] A GENERALIZED METHOD OF FIELD QUANTIZATION [J].

GREEN, HS .

PHYSICAL REVIEW, 1953, 90 (02) :270-273

[7]

Kamefuchi S., 1960, NUCL PHYS, V37, p[177, 207]

[8]

Kulish P. P., 1983, J SOVIET MATH, V23, P2435

[9] UNIVERSAL R-MATRIX OF THE QUANTUM SUPERALGEBRA OSP(2/1) [J].

KULISH, PP ;

RESHETIKHIN, NY .

LETTERS IN MATHEMATICAL PHYSICS, 1989, 18 (02) :143-149

[10] ON Q-ANALOGUES OF THE QUANTUM HARMONIC-OSCILLATOR AND THE QUANTUM GROUP SU(2)Q [J].

MACFARLANE, AJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (21) :4581-4588

← 1 2 →