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
收藏
页码：2045 / 2051
页数：7
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