Non-Grassmann "Classicization" of Fermion Dynamics

Details Non-Grassmann "Classicization" of Fermion Dynamics Non-Grassmann "Classicization" of Fermion Dynamics

1996-06-25

arxiv.org/abs/hep-th/9606164v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX

Scientific paper

A carefully motivated symmetric variant of the Poisson bracket in ordinary (not Grassmann) phase space variables is shown to satisfy identities which are in algebraic correspondence with the anticommutation postulates for quantized Fermion systems. "Symplecticity" in terms of this symmetric Poisson bracket implies generalized Hamilton's equations that can only be of Schroedinger type (e.g., the Dirac equation but not the Klein-Gordon or Maxwell equations). This restriction also excludes the old "four-Fermion" theory of beta decay.

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