On Lorentz Transformations in Symplectic Deformations

Journal Article · Mon Jul 12 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3473851· OSTI ID:21410560

Cuesta, R; Sabido, M ^[1]; Guzman, W ^[2]

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1. Departamento de Fisica, DCI-Campus Leon, Universidad de Guanajuato, A.P. E-143, C.P. 37150, Guanajuato (Mexico)
2. Instituto de Fisica, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21945-970, Rio de Janeiro (Brazil)

In this paper we study noncommutative Lorentz transformations using symplectic deformations. In this framework we define an infinitesimal line element that is invariant under this noncommutative Lorentz transformations. Using the symplectic geometry formalism, we find that noncommutative Lorentz transformations intertwine the canonical momentums with canonical position coordinates.

• OSTI ID: 21410560
• Journal Information: AIP Conference Proceedings, Vol. 1256, Issue 1; Conference: 8. Mexican school on gravitation and mathematical physics, Playa del Carmen, Quintana Roo (Mexico), 6-12 Dec 2009; Other Information: DOI: 10.1063/1.3473851; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

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