Twist maps for non-standard quantum algebras and discrete Schrodinger symmetries
Abstract
The minimal twist map introduced by B. Abdesselam, A. Chakrabarti, R. Chakrabarti and J. Segar (Mod. Phys. Lett. A 14 (1999) 765) for the non-standard (Jordanian) quantum sl(2,R) algebra is used to construct the twist maps for two different non-standard quantum deformations of the (1+1) Schrodinger algebra. Such deformations are, respectively, the symmetry algebras of a space and a time uniform lattice discretization of the (1+1) free Schrodinger equation. It is shown that the corresponding twist maps connect the usual Lie symmetry approach to these discrete equations with non-standard quantum deformations. This relationship leads to a clear interpretation of the deformation parameter as the step of the uniform (space or time) lattice.
Keywords
Cite
@article{arxiv.math/0007020,
title = {Twist maps for non-standard quantum algebras and discrete Schrodinger symmetries},
author = {A. Ballesteros and F. J. Herranz and J. Negro and L. M. Nieto},
journal= {arXiv preprint arXiv:math/0007020},
year = {2009}
}
Comments
16 pages, LaTeX