dorsal/arxiv
View SchemaA Jordanian quantum two-photon/Schrodinger algebra
| Authors | Angel Ballesteros, Francisco J. Herranz, Preeti Parashar |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9706014 |
| URL | https://arxiv.org/abs/q-alg/9706014 |
| DOI | 10.1088/0305-4470/30/24/019 |
| Journal | J.Phys. A30 (1997) 8587-8597 |
Abstract
A non-standard quantum deformation of the two-photon algebra $h_6$ is constructed, and its quantum universal R-matrix is given. Representations of this new quantum algebra are studied on the Fock space and translated into Fock-Bargmann realizations that provide a direct formalism for the definition of deformed states of light. Finally, the isomorphism between $h_6$ and the (1+1) Schr\"odinger algebra is used to introduce a new (non-standard) Hopf algebra deformation of this latter symmetry algebra.
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"abstract": "A non-standard quantum deformation of the two-photon algebra $h_6$ is\nconstructed, and its quantum universal R-matrix is given. Representations of\nthis new quantum algebra are studied on the Fock space and translated into\nFock-Bargmann realizations that provide a direct formalism for the definition\nof deformed states of light. Finally, the isomorphism between $h_6$ and the\n(1+1) Schr\\\"odinger algebra is used to introduce a new (non-standard) Hopf\nalgebra deformation of this latter symmetry algebra.",
"arxiv_id": "q-alg/9706014",
"authors": [
"Angel Ballesteros",
"Francisco J. Herranz",
"Preeti Parashar"
],
"categories": [
"q-alg",
"math.QA",
"quant-ph"
],
"doi": "10.1088/0305-4470/30/24/019",
"journal_ref": "J.Phys. A30 (1997) 8587-8597",
"title": "A Jordanian quantum two-photon/Schrodinger algebra",
"url": "https://arxiv.org/abs/q-alg/9706014"
},
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