UNITARY REPRESENTATIONS OF THE Q-OSCILLATOR ALGEBRA

被引：29

作者：

CHAICHIAN, M

GROSSE, H

PRESNAJDER, P

机构：

[1] UNIV HELSINKI,HIGH ENERGY PHYS RES INST,SF-00014 HELSINKI,FINLAND

[2] UNIV VIENNA,INST THEORET PHYS,A-1090 VIENNA,AUSTRIA

[3] COMENIUS UNIV BRATISLAVA,DEPT THEORET PHYS,CS-84215 BRATISLAVA,SLOVAKIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 06期

关键词：

D O I：

10.1088/0305-4470/27/6/027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We classify the unitary irreducible representations of the q-oscillator algebra bb+ - q2b+b = 1 by the sip of the definite operator K = bb+ - b+b: K > 0 corresponds to Fock representations and K < 0 to non-Fock ones, K = 0 being a degenerate case. We present their link to representations of extended q-oscillator algebra aa+ - qa+a = q(-N) obtained earlier. We give examples of all representations. Besides standard ones, we describe a new non-Fock representation of the Macfarlane type.

引用

页码：2045 / 2051

页数：7

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