Two-parameter deformed SUSY algebra for Fibonacci oscillators

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Algin A., ARIK M., Kocabicakoglu D.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.47, no.5, pp.1322-1332, 2008 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 47 Issue: 5
• Publication Date: 2008
• Doi Number: 10.1007/s10773-007-9567-z
• Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1322-1332
• Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.