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APS » Journals » Phys. Rev. D » Volume 69 » Issue 10
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Phys. Rev. D 69, 105011 (2004) [6 pages]

Lorentz and Galilei invariance on lattices

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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

Received 1 October 2003; published 19 May 2004

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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.105011
DOI:
10.1103/PhysRevD.69.105011
PACS:
11.15.Ha, 03.65.Fd, 11.30.-j

*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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