MULTIPARAMETER ASSOCIATIVE GENERALIZATIONS OF CANONICAL COMMUTATION RELATIONS AND QUANTIZED PLANES

被引：103

作者：

FAIRLIE, DB ^{[1
]}

ZACHOS, CK ^{[1
]}

机构：

[1] ARGONNE NATL LAB,DIV HIGH ENERGY PHYS,ARGONNE,IL 60439

来源：

PHYSICS LETTERS B | 1991年 / 256卷 / 01期

关键词：

D O I：

10.1016/0370-2693(91)90216-D

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We explicitly deform classical oscillators to multiparameter quantum oscillators which do not commute with each other. These "anyonic" oscillators lead to the construction of a consistent quantum algebra GL(q)(N) with 1/2 (N - 1) (N - 2) dependent parameters, some of whose features and applications we discuss.

引用

页码：43 / 49

页数：7

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