Two-photon algebra deformations
| dc.creator | Parashar, Preeti | |
| dc.creator | Ballesteros, Angel | |
| dc.creator | Herranz, Francisco J. | |
| dc.date | 1999-07-26 | |
| dc.date.accessioned | 2026-07-07T05:30:05Z | |
| dc.date.available | 2026-07-07T05:30:05Z | |
| dc.description | In order to obtain a classification of all possible quantum deformations of the two-photon algebra $h_6$, we introduce its corresponding general Lie bialgebra, which is a coboundary one. Two non-standard quantum deformations of $h_6$, together with their associated quantum universal R-matrix, are presented; each of them contains either a quantum harmonic oscillator subalgebra or a quantum gl(2) subalgebra. One-boson representations for these quantum two-photon algebras are derived and translated into Fock--Bargmann realizations. In this way, a systematic study of `deformed' states of light in quantum optics can be developed. | |
| dc.description | 12 pages, LaTeX. Contribution to Symmetries in Quantum Mechanics and Quantum Optics. Edited by A. Ballesteros et al. Universidad de Burgos, pp. 235--246, (1999) | |
| dc.identifier | https://arxiv.org/abs/math/9907170 | |
| dc.identifier | http://arxiv.org/abs/math/9907170 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78880 | |
| dc.subject | Quantum Algebra | |
| dc.title | Two-photon algebra deformations | |
| dc.type | text |