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Quantum Abraham models with de Broglie-Bohm laws of quantum motion

Michael K. -H. Kiessling
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Abstract

We discuss a class of quantum Abraham models in which the N-particle spinor wave function of N electrons solves a Pauli respectively Schroedinger equation, featuring regularized classical electromagnetic potentials which solve the semi-relativistic Maxwell-Lorentz equations for regularized point charges, which move according to some de Broglie-Bohm law of quantum motion. Thus there is a feedback loop from the actual particle motions to the wave function. The electrons have a bare charge and positive bare mass different from their empirical charge and mass due to renormalization by the self-fields. In the classical limit the various models reduce to the Hamilton-Jacobi version of corresponding Abraham models of classical electron theory.

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Michael K. -H. Kiessling. 2006-04-08. Quantum Abraham models with de Broglie-Bohm laws of quantum motion. https://doi.org/10.1063/1.2219364

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