Remarks on the Representation Theory of the Moyal Plane

J. M. Isidro; P. Fernández de Córdoba; J. M. Rivera-Rebolledo; J. L. G. Santander

doi:10.1155/2011/635790

Advances in Mathematical Physics (Jan 2011)

Remarks on the Representation Theory of the Moyal Plane

J. M. Isidro,
P. Fernández de Córdoba,
J. M. Rivera-Rebolledo,
J. L. G. Santander

Affiliations

J. M. Isidro: Instituto Universitario de Matemática Pura y Aplicad, Universidad Politécnica de Valencia, 46022 Valencia, Spain
P. Fernández de Córdoba: Instituto Universitario de Matemática Pura y Aplicad, Universidad Politécnica de Valencia, 46022 Valencia, Spain
J. M. Rivera-Rebolledo: Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, U. P. Adolfo López Mateos, 07738 Lindavista, D F, Mexico
J. L. G. Santander: Cátedra Energesis de Tecnología Interdisciplinar, Universidad Católica de Valencia, C/Guillem de Castro 94, Valencia 46003, Spain

DOI: https://doi.org/10.1155/2011/635790
Journal volume & issue: Vol. 2011

Abstract

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

Published in Advances in Mathematical Physics

ISSN: 1687-9120 (Print); 1687-9139 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Physics
Website: https://onlinelibrary.wiley.com/journal/3197

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