Noncommutative spherically symmetric spaces

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.025009· OSTI ID:21503983

Murray, Sean; Govaerts, Jan ^[1]

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1. Centre for Cosmology, Particle Physics and Phenomenology, Universite catholique de Louvain, Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve (Belgium)

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.

• OSTI ID: 21503983
• Journal Information: Physical Review. D, Particles Fields, Vol. 83, Issue 2; Other Information: DOI: 10.1103/PhysRevD.83.025009; (c) 2011 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
COMMUTATION RELATIONS
EUCLIDEAN SPACE
HILBERT SPACE
LAPLACIAN
ROTATION
SPECTRA
SYMMETRY
BANACH SPACE
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MOTION
QUANTUM OPERATORS
RIEMANN SPACE
SPACE