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arXiv · q-alg/9509007

A q-Lorentz Algebra From q-Deformed Harmonic Oscillators

A. Ritz·G. C. Joshi
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Abstract

A mapping between the operators of the bosonic oscillator and the Lorentz rotation and boost generators is presented. The analog of this map in the $q$-deformed regime is then applied to $q$-deformed bosonic oscillators to generate a $q$-deformed Lorentz algebra, via an inverse of the standard chiral decomposition. A fundamental representation, and the co-algebra structure, are given, and the generators are reformulated into $q$-deformed rotations and boosts. Finally, a relation between the $q$-boson operators and a basis of $q$-deformed Minkowski coordinates is noted.

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BibTeXRIS

A. Ritz, G. C. Joshi. 1995-09-11. A q-Lorentz Algebra From q-Deformed Harmonic Oscillators. https://doi.org/10.1016/s0960-0779(96)00159-2

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