SYMMETRIES OF THE Q-DIFFERENCE HEAT-EQUATION

Authors
FLOREANINI R VINET L
Citation
R. Floreanini et L. Vinet, SYMMETRIES OF THE Q-DIFFERENCE HEAT-EQUATION, letters in mathematical physics, 32(1), 1994, pp. 37-44
Citations number
7
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
32
Issue
1
Year of publication
1994
Pages
37 - 44
Database
ISI
SICI code
0377-9017(1994)32:1<37:SOTQH>2.0.ZU;2-2
Abstract
The symmetry operators of a q-difference analog of the heat equation i n one space dimension are determined. They are seen to generate a q-de formation of the semidirect product of sl(2, R) with the three-dimensi onal Weyl algebra. It is shown that this algebraic structure is preser ved if different q-analogs of the heat equation are considered. The se paration of variables associated to the dilatation symmetry is perform ed and solutions involving discrete q-Hermite polynomials are obtained .