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
收藏
页码：1322 / 1332
页数：11
相关论文
共 71 条
[41]   THERMODYNAMIC CHARACTERISTICS OF THE (P,Q)-DEFORMED IDEAL BOSE-GAS [J].
GONG, RS .
PHYSICS LETTERS A, 1995, 199 (1-2) :81-85
[42]  
Gong RS, 2000, COMMUN THEOR PHYS, V34, P737
[43]   THE Q-SUPEROSCILLATORS IN SUPERSYMMETRIC QUANTUM-SYSTEMS AND THEIR Q-SUPERCOHERENT STATES [J].
HAO, SR ;
LI, GH ;
LONG, JY .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1994, 27 (17) :5995-6004
[44]   Q-ANALOGS OF CLIFFORD AND WEYL ALGEBRAS - SPINOR AND OSCILLATOR REPRESENTATIONS OF QUANTUM ENVELOPING-ALGEBRAS [J].
HAYASHI, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 127 (01) :129-144
[45]   Two-parameter quantum deformation of Lie superalgebras [J].
Hegazi, A ;
Mansour, M .
CHAOS SOLITONS & FRACTALS, 2001, 12 (03) :445-452
[46]   DEFORMED TRACES AND COVARIANT QUANTUM ALGEBRAS FOR QUANTUM GROUPS GL(QP)(2) AND GL(QP)(1/1) [J].
ISAEV, AP ;
MALIK, RP .
PHYSICS LETTERS B, 1992, 280 (3-4) :219-226
[47]  
JIMBO M, 1986, LETT MATH PHYS, V11, P247, DOI 10.1007/BF00400222
[48]   COMMENT ON THE Q-DEFORMED FERMIONIC OSCILLATOR [J].
JING, S ;
XU, JJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (16) :L891-L894
[49]   PARASUPERSYMMETRY IN QUANTUM-MECHANICS [J].
KHARE, A .
JOURNAL OF MATHEMATICAL PHYSICS, 1993, 34 (04) :1277-1294
[50]   ORTHOSUPERSYMMETRIC QUANTUM-MECHANICS [J].
KHARE, A ;
MISHRA, AK ;
RAJASEKARAN, G .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1993, 8 (07) :1245-1257
12345678