2006/10/07 by R. G. G. Amorim, M.C.B. Fernandes, M. C. B. Fernandes +3
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1016/j.physleta.2006.09.074
published as Phys.Lett.A361:464-471,2007 · To appear in Physics Letters A
openalex publication_date 2006/10/07 · arxiv created 2006/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work we study representations of the Poincaré group defined over symplectic manifolds, deriving the Klein–Gordon and the Dirac equation in phase space. The formalism is associated with relativistic Wigner functions; the Noether theorem is derived in phase space and an interacting field, including a gauge field, approach is discussed.