Noncommutative Spherically Symmetric Space
(2011) Physical Review. D, Particles, Fields, Gravitation and Cosmology — Vol. 83, n° 2, p. 025009 (9 pages) (2011)
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- Authors
Govaerts, Jan 
- 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.
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Citations
Murray, S., & Govaerts, J. (2011). Noncommutative Spherically Symmetric Space. Physical Review. D, Particles, Fields, Gravitation and Cosmology, 83(2), 025009 (9 pages). https://doi.org/10.1103/PhysRevD.83.025009 (Original work published 2011)