dorsal/arxiv
View SchemaA q-Lorentz Algebra From q-Deformed Harmonic Oscillators
| Authors | A. Ritz, G. C. Joshi |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9509007 |
| URL | https://arxiv.org/abs/q-alg/9509007 |
| DOI | 10.1016/S0960-0779(96)00159-2 |
| Journal | Chaos Solitons Fractals 8:823-834,1997 |
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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"abstract": "A mapping between the operators of the bosonic oscillator and the Lorentz\nrotation and boost generators is presented. The analog of this map in the\n$q$-deformed regime is then applied to $q$-deformed bosonic oscillators to\ngenerate a $q$-deformed Lorentz algebra, via an inverse of the standard chiral\ndecomposition. A fundamental representation, and the co-algebra structure, are\ngiven, and the generators are reformulated into $q$-deformed rotations and\nboosts. Finally, a relation between the $q$-boson operators and a basis of\n$q$-deformed Minkowski coordinates is noted.",
"arxiv_id": "q-alg/9509007",
"authors": [
"A. Ritz",
"G. C. Joshi"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1016/S0960-0779(96)00159-2",
"journal_ref": "Chaos Solitons Fractals 8:823-834,1997",
"title": "A q-Lorentz Algebra From q-Deformed Harmonic Oscillators",
"url": "https://arxiv.org/abs/q-alg/9509007"
},
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