NonGrassmann "Classicization" of Fermion Dynamics
Abstract
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 KleinGordon or Maxwell equations). This restriction also excludes the old "fourFermion" theory of beta decay.
 Publication:

arXiv eprints
 Pub Date:
 June 1996
 DOI:
 10.48550/arXiv.hepth/9606164
 arXiv:
 arXiv:hepth/9606164
 Bibcode:
 1996hep.th....6164K
 Keywords:

 High Energy Physics  Theory;
 Nuclear Theory
 EPrint:
 7 pages, LaTeX