Symmetries of the discrete Schrödinger equation and its quantum deformations

1. Nieto, Luis
2. Negro, Javier
3. Herranz, Francisco
4. Ballesteros, Angel

Export

Export

×

MLA

modern-language-association

APA

apa

Chicago

chicago-fullnote-bibliography

Harvard

harvard-cite-them-right

Vancouver

vancouver-author-date

---

RIS BibTex

Export

×

This document cannot be exported because it belongs to another portal.

Full text

lock_openFull text externo

DOI: 10.1090/CRMP/025/31 GOOGLE SCHOLAR lock_openOpen access editor

Abstract

After a short revision of the symmetries in the free Schröndiger equation, the nonstandard quantum deformations of the (1+1)- Schrödinger algebra are considered. Two of them are identified with the symmetry algebras of either a space or time uniform lattice discretization of the free Schröndiger equation. For both cases, the deformation parameter of the corresponding Hopf algebra can be interpreted as the step of the lattice. The problem of finding a quantum algebras linked to the full space-time discretization is also discussed.