QUANTUM GROUP-SYMMETRICAL FOCK SPACES WITH BARGMANN-FOCK REPRESENTATION

被引：34

作者：

KEMPF, A

机构：

[1] Sektion Physik der Ludwig-Maximilians-Universität, Munich 2, 8000

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1992年 / 26卷 / 01期

关键词：

D O I：

10.1007/BF00420513

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

SUq(n) symmetric algebras of creation and annihilation operators are represented on a Hilbert space of deformed holomorphic functions. The scalar product on this space is given by an algebraically defined integral. In all calculations the bosonic and the fermionic case are treated simultaneously.

引用

页码：1 / 12

页数：12

共 11 条

[1] THE Q-DIFFERENCE OPERATOR, THE QUANTUM HYPERPLANE, HILBERT-SPACES OF ANALYTIC-FUNCTIONS AND Q-OSCILLATORS [J].

ARIK, M .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 51 (04) :627-632

[2] 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

[3] SUPERCOVARIANT SYSTEMS OF Q-OSCILLATORS AND Q-SUPERSYMMETRIC HAMILTONIANS [J].

CHAICHIAN, M ;

KULISH, P ;

LUKIERSKI, J .

PHYSICS LETTERS B, 1991, 262 (01) :43-48

[4]

Faddeev L.D., 1989, ALGEBRA ANALIZ, P178

[5]

Itzykson C., 1985, QUANTUM FIELD THEORY

[6] 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

[7] EXAMPLES OF BRAIDED GROUPS AND BRAIDED MATRICES [J].

MAJID, S .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (12) :3246-3253

[8] QUASITRIANGULAR HOPF-ALGEBRAS AND YANG-BAXTER EQUATIONS [J].

MAJID, S .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1990, 5 (01) :1-91

[9]

Pusz W., 1989, Reports on Mathematical Physics, V27, P231, DOI 10.1016/0034-4877(89)90006-2

[10] MULTIPARAMETER DEFORMATIONS OF GL(N) AND JORDAN-SCHWINGER CONSTRUCTIONS [J].

VOKOS, SP .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (11) :2979-2985

← 1 2 →