Q-BOSON OSCILLATOR ALGEBRA WITH COMPLEX DEFORMATION PARAMETER

Author:

FALCO L. DE1,JANNUSSIS A.23,MIGNANI R.14,SOTIROPOULOU A.2

Affiliation:

1. Dipartimento di Fisica “E. Amaldi”, III Università di Roma, Italy

2. Department of Physics, Patras University, 26110 Patras, Greece

3. I.B.R., P.O. Box 1577, Palm Harbor, FL 34682–1577, USA

4. I.N.F.N. – Sezione di Roma I, c/o Dipartimento di Fisica, I Università di Roma “La Sapienza”, P.le A. Moro 2, I-00185 Roma, Italy

Abstract

We study a general q-deformed Heisenberg-Weyl algebra with complex deformation parameter. The q-boson realization of such an algebra is obtained by means of a complex generalization of the bosonization method. The real spectrum of the corresponding complex deformed oscillator is derived for two special cases of the q-commutation relations. The bosonic realization of the related SU(2) algebra is also briefly considered.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Quantum groups and their applications in nuclear physics;Progress in Particle and Nuclear Physics;1999-01

2. COMMENT ON PLANCK DISTRIBUTION OF COMPLEX-q BOSON GAS;Modern Physics Letters A;1998-07-10

3. q-parameter dependence of a gas in equilibrium with a deformed solid;Physics Letters A;1996-12

4. A UNIFIED VIEW OF MULTIMODE ALGEBRAS WITH FOCK-LIKE REPRESENTATIONS;International Journal of Modern Physics A;1996-03-30

5. THERMODYNAMICS OF A WEAKLY DEFORMED CRYSTAL LATTICE WITH q-COMPLEX PARAMETER;Modern Physics Letters B;1995-10-10

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