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.
Levi, D., Tempesta, P., Winternitz, P. (2004). Lorentz and Galilei invariance on lattices. PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY, 69(10) [10.1103/PhysRevD.69.105011].
Lorentz and Galilei invariance on lattices
LEVI, Decio;
2004-01-01
Abstract
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.File in questo prodotto:
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