A Jordanian quantum two-photon/Schrodinger algebra
q-alg
2009-10-30 v3 Quantum Algebra
Quantum Physics
Abstract
A non-standard quantum deformation of the two-photon algebra 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 and the (1+1) Schr\"odinger algebra is used to introduce a new (non-standard) Hopf algebra deformation of this latter symmetry algebra.
Cite
@article{arxiv.q-alg/9706014,
title = {A Jordanian quantum two-photon/Schrodinger algebra},
author = {Angel Ballesteros and Francisco J. Herranz and Preeti Parashar},
journal= {arXiv preprint arXiv:q-alg/9706014},
year = {2009}
}
Comments
12 pages, LaTeX, misprints corrected