Relativistic Corrections to Elementary Galilean Dynamics and Deformations of Poisson Brackets

Details Relativistic Corrections to Elementary Galilean Dynamics and Deformations of Poisson Brackets Relativistic Corrections to Elementary Galilean Dynamics and Deformations of Poisson Brackets

Oct 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000hscm.conf..161f&link_type=abstract

HAMILTONIAN SYSTEMS AND CELESTIAL MECHANICS (HAMSYS-98). Proceedings of the III International Symposium. Held 7-11 December 1998

Physics

1

Scientific paper

Deformations of Poisson brackets generated by the contraction of the Poincaré algebra into the Galilei algebra are studied in the framework of the Poisson cohomology theory. We show that relativistic deformations of the Galilean Poisson structure are trivial, in particular, the cohomology class of the relativistic 2-cocycle is zero. This fact allows us to interprete an elementary relativistic Hamiltonian dynamical system as a Hamiltonian system on a homogeneous symplectic space of the Galilei group with a corrected Hamiltonian.

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