q-Fock Space Representations of the q-Lorentz Algebra and Irreducible Tensors

  • M. Chaichian
  • J. A. De Azcárraga
  • F. Rodenas

Abstract

We present the q-deformation of the Lorentz algebra, with Hopf structure, in terms of four independent harmonic oscillators. The explicit realization of the q-Fock space is given and the irreducible finite-dimensional representations of so(1,3)q are described and characterized by its two q-Casimir operators. The concept of irreducible q-Lorentz tensor is also introduced. The analysis is made for a real deformation parameter.

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • M. Chaichian
    • 1
  • J. A. De Azcárraga
    • 2
  • F. Rodenas
    • 2
  1. 1.High Energy Physics Laboratory, Department of PhysicsUniversity of HelsinkiHelsinkiFinland
  2. 2.Departamento de Física Teórica and IFIC (CSIC)Universidad de ValenciaBurjassot, ValenciaSpain

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