Non-Grassmann “Classicization” of Fermion Dynamics

Garavaglia, T. and Kauffmann, S. K. (1996) Non-Grassmann “Classicization” of Fermion Dynamics. (Preprint)

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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 Schrödinger type (e.g., the Dirac equation hut not the Klein-Gordon or Maxwell equations). This restriction also excludes the old “four-Fermion” theory of beta decay.

Item Type:	Article
Uncontrolled Keywords:	Fermion, Poisson, classical, canonical, symplectic, anticommutation, quantization
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:06
Last Modified:	20 Dec 2022 09:01
URI:	https://dair.dias.ie/id/eprint/668

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