Lorentz and Galilei invariance on lattices

D. Levi, P. Tempesta, and P. Winternitz
Phys. Rev. D 69, 105011 – Published 19 May 2004
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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.

  • Received 1 October 2003

DOI:https://doi.org/10.1103/PhysRevD.69.105011

©2004 American Physical Society

Authors & Affiliations

D. Levi*, P. Tempesta, and P. Winternitz

  • Centre de recherches mathématiques, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal (Québec), Canada H3C 3J7

  • *Also at Dipartimento di Fisica, Università degli Studi Roma Tre and INFN, Sezione di Roma III, via della Vasca Navale 84, Roma, Italy. Electronic address: levi@fis.uniroma3.it
  • Electronic address: tempesta@CRM.UMontreal.ca
  • Electronic address: wintern@CRM.UMontreal.ca

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Issue

Vol. 69, Iss. 10 — 15 May 2004

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