From Q-Oscillators to Quantum Groups

  • Metin Arik
Chapter

Abstract

It gives me great pleasure to present this talk at this Symposium held in honor of Professor Larry Biedenharn on the occasion of his 70th birthday. Among his many contributions to mathematical physics, Professor Biedenharn has shown us how to construct unitary quantum Lie algebras in terms of q-oscillators.1 In this talk, I would like to take the dual course and discuss the direct relationship between q-oscillators and quantum groups. I will also talk about their physical interpretation as relativistic oscillators. My discussion will mainly focus on our contribution to the subject.2−7 However I will try to present a unified overview.

Keywords

Commutation Relation Quantum Group Basic Number Unitary Quantum Hilation Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Metin Arik
    • 1
  1. 1.Department of PhysicsBoğaziçi UniversityBebek, IstanbulTurkey

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