Advances in Mathematical Physics
Volume 2011 (2011), Article ID 635790, 9 pages
http://dx.doi.org/10.1155/2011/635790
Research Article

Remarks on the Representation Theory of the Moyal Plane

J. M. Isidro,1,2 P. Fernández de Córdoba,1 J. M. Rivera-Rebolledo,3 and J. L. G. Santander4

1Instituto Universitario de Matemática Pura y Aplicad, Universidad Politécnica de Valencia, 46022 Valencia, Spain
2Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), 14476 Golm, Germany
3Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, U. P. Adolfo López Mateos, 07738 Lindavista, D F, Mexico
4Cátedra Energesis de Tecnología Interdisciplinar, Universidad Católica de Valencia, C/Guillem de Castro 94, Valencia 46003, Spain

Received 1 February 2011; Revised 2 April 2011; Accepted 5 April 2011

Academic Editor: Frederik G. Scholtz

Copyright © 2011 J. M. Isidro et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.