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On Lorentz Transformations in Symplectic Deformations

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.3473851· OSTI ID:21410560
;  [1];  [2]
  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, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1256; ISSN APCPCS; ISSN 0094-243X
Country of Publication:
United States
Language:
English

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