A JORDANIAN QUANTUM 2-PHOTON SCHRODINGER ALGEBRA/

Authors
BALLESTEROS A HERRANZ FJ PARASHAR P
Citation
A. Ballesteros et al., A JORDANIAN QUANTUM 2-PHOTON SCHRODINGER ALGEBRA/, Journal of physics. A, mathematical and general, 30(24), 1997, pp. 8587-8597
Citations number
23
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
24
Year of publication
1997
Pages
8587 - 8597
Database
ISI
SICI code
0305-4470(1997)30:24<8587:AJQ2SA>2.0.ZU;2-0
Abstract
A non-standard quantum deformation of the two-photon algebra h(6) is c onstructed, and its quantum universal R-matrix is given. Representatio ns of this new quantum algebra are studied on the Fock space and trans lated into Fock-Bargmann realizations that provide a direct formalism for the definition of deformed states of light. Finally, the isomorphi sm between h(6) and the (1 + 1) Schrodinger algebra is used to introdu ce a new (non-standard) Hopf algebra deformation of this latter symmet ry algebra.