An Umbral Approach
to Lie symmetries and Discrete Quantum Systems
Piergiulio Tempesta
(Tempesta@CRM.UMontreal.ca)
Université
de Montréal
Centre de recherches mathématiques
C.P. 6128, succ. Centre-ville Montréal
Québec
H3C 3J7 Canada
Abstract
The theory of Lie point and generalized symmetries of linear difference
equations defined on a two-dimensional lattice is presented in the context
of the so called Umbral calculus. The role of the umbral approach in the
discretization of the Schroedinger equation is also discussed.
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