Twist maps for non-standard quantum algebras and discrete Schrodinger symmetries

Citation
A. Ballesteros et al., Twist maps for non-standard quantum algebras and discrete Schrodinger symmetries, J PHYS A, 33(27), 2000, pp. 4859-4870
Citations number
38
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
27
Year of publication
2000
Pages
4859 - 4870
Database
ISI
SICI code
0305-4470(20000714)33:27<4859:TMFNQA>2.0.ZU;2-M
Abstract
The minimal twist map introduced by Abdesselam et al(Abdesselam B, Chakraba rti A, Chakrabarti R and Segar J 1999 Mod. Phys. Lett. A 14 765) for the no n-standard (Jordanian) quantum sl(2, R) algebra is used to construct the tw ist maps for two different non-standard quantum deformations of the (1 + 1) Schrodinger algebra. Such deformations are, respectively, the symmetry alg ebras of a space and a time uniform lattice discretization of the (1 + 1) f ree Schrodinger equation. it is shown that the corresponding twist maps con nect the usual Lie symmetry approach to these discrete equations with non-s tandard quantum deformations. This relationship leads to a clear interpreta tion of the deformation parameter as the step of the uniform (space or time ) lattice.