dorsal/arxiv
View SchemaQuantum Abraham models with de Broglie-Bohm laws of quantum motion
| Authors | Michael K. -H. Kiessling |
|---|---|
| Categories | |
| ArXiv ID | physics/0604069 |
| URL | https://arxiv.org/abs/physics/0604069 |
| DOI | 10.1063/1.2219364 |
| Journal | AIP Conf. Proc. vol.844, p.206-227 (2006) |
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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"abstract": "We discuss a class of quantum Abraham models in which the N-particle spinor\nwave function of N electrons solves a Pauli respectively Schroedinger equation,\nfeaturing regularized classical electromagnetic potentials which solve the\nsemi-relativistic Maxwell-Lorentz equations for regularized point charges,\nwhich move according to some de Broglie-Bohm law of quantum motion. Thus there\nis a feedback loop from the actual particle motions to the wave function. The\nelectrons have a bare charge and positive bare mass different from their\nempirical charge and mass due to renormalization by the self-fields. In the\nclassical limit the various models reduce to the Hamilton-Jacobi version of\ncorresponding Abraham models of classical electron theory.",
"arxiv_id": "physics/0604069",
"authors": [
"Michael K. -H. Kiessling"
],
"categories": [
"physics.atom-ph",
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"doi": "10.1063/1.2219364",
"journal_ref": "AIP Conf. Proc. vol.844, p.206-227 (2006)",
"title": "Quantum Abraham models with de Broglie-Bohm laws of quantum motion",
"url": "https://arxiv.org/abs/physics/0604069"
},
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