Lorentz and Galilei Invariance on Lattices

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages

Scientific paper

10.1103/PhysRevD.69.105011

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. The mathematical tool for symmetry
preserving discretizations on regular lattices is the umbral calculus.

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