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hep-th2003
Lorentz and Galilei Invariance on Lattices
Decio Levi, Piergiulio Tempesta, Pavel Winternitz
We show that the algebraic aspects of Lie symmetries and generalized symmetries in nonrelativistic and relativistic quantum mechanics can be preserved in linear lattice theories. T…
nlin.SI2003★ 47 cited
Umbral Calculus, Difference Equations and the Discrete Schroedinger Equation
Decio Levi, Piergiulio Tempesta, Pavel Winternitz
We discuss umbral calculus as a method of systematically discretizing linear differential equations while preserving their point symmetries as well as generalized symmetries. The m…