Discrete phase space - I: Variational formalism for classical relativistic wave fields

Details Discrete phase space - I: Variational formalism for classical relativistic wave fields Discrete phase space - I: Variational formalism for classical relativistic wave fields

2008-11-06

arxiv.org/abs/0811.0852v1

Can. J. Phys. 88: 73-91 (2010)

Physics

Mathematical Physics

35 pages, 2 figures

Scientific paper

10.1139/p09-089

The classical relativistic wave equations are presented as partial difference equations in the arena of covariant discrete phase space. These equations are also expressed as difference-differential equations in discrete phase space and continuous time. The relativistic invariance and covariance of the equations in both versions are established. The partial difference and difference-differential equations are derived as the Euler-Lagrange equations from the variational principle. The difference and difference-differential conservation equations are derived. Finally, the total momentum, energy, and charge of the relativistic classical fields satisfying difference-differential equations are computed.

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