Noncommutative spherically symmetric spaces

Seán Murray and Jan Govaerts
Phys. Rev. D 83, 025009 – Published 10 January 2011

Abstract

We examine some noncommutative spherically symmetric spaces in three space dimensions. A generalization of Snyder’s noncommutative (Euclidean) space allows the inclusion of the generator of dilations into the defining algebra of the coordinate and rotation operators. We then construct a spherically symmetric noncommutative Laplacian on this space having the correct limiting spectrum. This is presented via a creation and annihilation operator realization of the algebra, which may lend itself to a truncation of the Hilbert space.

  • Received 6 October 2010

DOI:https://doi.org/10.1103/PhysRevD.83.025009

© 2011 The American Physical Society

Authors & Affiliations

Seán Murray*

  • Centre for Cosmology, Particle Physics and Phenomenology, Université catholique de Louvain, Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium

Jan Govaerts

  • Centre for Cosmology, Particle Physics and Phenomenology, Université catholique de Louvain, Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium and International Chair in Mathematical Physics and Applications, University of Abomey-Calavi, 072 B. P. 50, Cotonou, Republic of Benin

  • *sean.murray@uclouvain.be
  • jan.govaerts@uclouvain.be; Fellow of the Stellenbosch Institute for Advanced Study (STIAS), 7600 Stellenbosch, South Africa.

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Vol. 83, Iss. 2 — 15 January 2011

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