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

被引：91
|
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.
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页码：613 / 617
页数：5
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