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Noncommutative Spherically Symmetric Space

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Murray, Sean [UCL] Govaerts, Jan [UCL]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2011
Language Anglais
Journal information "Physical Review. D, Particles, Fields, Gravitation and Cosmology" - Vol. 83, no. 2, p. 025009 (9 pages) (2011)
Peer reviewed yes
Publisher American Physical Society ((United States) [S.l.])
issn 1550-7998
e-issn 1089-4918
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
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Bibliographic reference Murray, Sean ; Govaerts, Jan. Noncommutative Spherically Symmetric Space. In: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 83, no. 2, p. 025009 (9 pages) (2011)
Permanent URL http://hdl.handle.net/2078.1/107994