Two-parameter deformed SUSY algebra for Fibonacci oscillators

被引：8

作者：

Algin, Abdullah ^{[1
]}

Arik, Metin ^{[2
]}

Kocabicakoglu, Deniz ^{[3
]}

机构：

[1] Eskisehir Osmangazi Univ, Fac Arts & Sci, Dept Phys, TR-26480 Meselik, Eskisehir, Turkey

[2] Bogazici Univ, Fac Arts & Sci, Dept Phys, Istanbul, Turkey

[3] Eskisehir Osmangazi Univ, Grad Sch Sci, TR-26480 Meselik, Eskisehir, Turkey

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2008年 / 47卷 / 05期

关键词：

deformed bosons; quantum groups; quantum superalgebras;

D O I：

10.1007/s10773-007-9567-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a two-parameter deformed SUSY algebra for the system of n ordinary fermions and n(q(1),q(2))-deformed bosons called Fibonacci oscillators with SUq1/q2 (n)-symmetry. We then analyze the Fock space representation of the algebra constructed. We obtain the total deformed Hamiltonian and the energy levels together with their degeneracies for the system. We also consider some physical applications of the Fibonacci oscillators with SUq1/q2 (n)-symmetry, and discuss the main reasons to consider two distinct deformation parameters.

引用

页码：1322 / 1332

页数：11

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