A Q-ANALOG OF THE SUPERSYMMETRIC OSCILLATOR AND ITS Q-SUPERALGEBRA

被引：92

作者：

PARTHASARATHY, R ^{[1
]}

VISWANATHAN, KS ^{[1
]}

机构：

[1] INST MATH SCI,MADRAS 600113,INDIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 03期

关键词：

D O I：

10.1088/0305-4470/24/3/019

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A q-analogue of the supersymmetric oscillator is constructed out of q-boson and q-fermion creation and annihilation operators. For a fixed n(B) + n(F) = 2n, (where n(B) and n(F) are q-boson and q-fermion occupation numbers, the irreducible representations of the q-superalgebra generated by the q-oscillator are (2n + 1)-dimensional. Particular cases when q is a root of +/- 1 are discussed. A realization of the quantum group SU(q)(2) is obtained using a pair of 1-fermion creation and annihilation operators.

引用

页码：613 / 617

页数：5

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