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

J. A. De AzcárragaMasud ChaichianF. Rodenas

subject

Pure mathematics010308 nuclear & particles physicsLorentz transformation010102 general mathematics(gK)-moduleIrreducible elementSpace (mathematics)01 natural sciencesFock spaceAlgebrasymbols.namesakeSubdirectly irreducible algebra0103 physical sciencessymbolsTensor0101 mathematicsRealization (systems)Mathematics

description

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.

yearjournalcountryeditionlanguage
1993-01-01
https://doi.org/10.1007/978-1-4899-1219-0_14