Discrete phase space - I: Variational formalism for classical relativistic wave fields - Mathematical PhysicsReport as inadecuate




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Abstract: The classical relativistic wave equations are presented as partial differenceequations in the arena of covariant discrete phase space. These equations arealso expressed as difference-differential equations in discrete phase space andcontinuous time. The relativistic invariance and covariance of the equations inboth versions are established. The partial difference anddifference-differential equations are derived as the Euler-Lagrange equationsfrom the variational principle. The difference and difference-differentialconservation equations are derived. Finally, the total momentum, energy, andcharge of the relativistic classical fields satisfying difference-differentialequations are computed.



Author: A. Das

Source: https://arxiv.org/



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