Mathematics – Quantum Algebra
Scientific paper
1999-07-26
Mathematics
Quantum Algebra
12 pages, LaTeX. Contribution to Symmetries in Quantum Mechanics and Quantum Optics. Edited by A. Ballesteros et al. Universid
Scientific paper
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.
Ballesteros Angel
Herranz Francisco J.
Parashar Preeti
No associations
LandOfFree
Two-photon algebra deformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Two-photon algebra deformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-photon algebra deformations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-619602