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

Michael K.H. Kiessling

doi:https://doi.org/10.1063/1.2219364

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

Michael K.H. Kiessling

School of Arts and Sciences, Mathematics

Rutgers, The State University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Scopus citations

Abstract

We discuss a class of quantum Abraham models in which the N-particle spinor wave function of N electrons solves a Pauli respectively Schrödinger 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.

Original language	English (US)
Title of host publication	QUANTUM MECHANICS
Subtitle of host publication	Are There Quantum Jumps - and On the Present Status of Quantum Mechanics
Pages	206-227
Number of pages	22
DOIs	https://doi.org/10.1063/1.2219364
State	Published - 2006
Event	QUANTUM MECHANICS: Are There Quantum Jumps - and On the Present Status of Quantum Mechanics - Losinj, Croatia Duration: Sep 7 2005 → Sep 9 2005

Publication series

Name	AIP Conference Proceedings
Volume	844

Other

Other	QUANTUM MECHANICS: Are There Quantum Jumps - and On the Present Status of Quantum Mechanics
Country/Territory	Croatia
City	Losinj
Period	9/7/05 → 9/9/05

ASJC Scopus subject areas

Physics and Astronomy(all)

Keywords

Abraham model
Classical electromagnetic fields
De Broglie-Bohm type quantum theory

Access to Document

https://doi.org/10.1063/1.2219364

Cite this

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title = "Quantum Abraham models with de Broglie-Bohm laws of electron motion",

abstract = "We discuss a class of quantum Abraham models in which the N-particle spinor wave function of N electrons solves a Pauli respectively Schr{\"o}dinger 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.",

keywords = "Abraham model, Classical electromagnetic fields, De Broglie-Bohm type quantum theory",

author = "Kiessling, {Michael K.H.}",

year = "2006",

doi = "https://doi.org/10.1063/1.2219364",

language = "English (US)",

isbn = "0735403376",

series = "AIP Conference Proceedings",

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booktitle = "QUANTUM MECHANICS",

note = "QUANTUM MECHANICS: Are There Quantum Jumps - and On the Present Status of Quantum Mechanics ; Conference date: 07-09-2005 Through 09-09-2005",

}

Kiessling, MKH 2006, Quantum Abraham models with de Broglie-Bohm laws of electron motion. in QUANTUM MECHANICS: Are There Quantum Jumps - and On the Present Status of Quantum Mechanics. AIP Conference Proceedings, vol. 844, pp. 206-227, QUANTUM MECHANICS: Are There Quantum Jumps - and On the Present Status of Quantum Mechanics, Losinj, Croatia, 9/7/05. https://doi.org/10.1063/1.2219364

TY - GEN

T1 - Quantum Abraham models with de Broglie-Bohm laws of electron motion

AU - Kiessling, Michael K.H.

PY - 2006

Y1 - 2006

N2 - We discuss a class of quantum Abraham models in which the N-particle spinor wave function of N electrons solves a Pauli respectively Schrödinger 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.

AB - We discuss a class of quantum Abraham models in which the N-particle spinor wave function of N electrons solves a Pauli respectively Schrödinger 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.

KW - Abraham model

KW - Classical electromagnetic fields

KW - De Broglie-Bohm type quantum theory

UR - http://www.scopus.com/inward/record.url?scp=33846311790&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33846311790&partnerID=8YFLogxK

U2 - https://doi.org/10.1063/1.2219364

DO - https://doi.org/10.1063/1.2219364

M3 - Conference contribution

SN - 0735403376

SN - 9780735403376

T3 - AIP Conference Proceedings

SP - 206

EP - 227

BT - QUANTUM MECHANICS

T2 - QUANTUM MECHANICS: Are There Quantum Jumps - and On the Present Status of Quantum Mechanics

Y2 - 7 September 2005 through 9 September 2005

ER -

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

Abstract

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Other

ASJC Scopus subject areas

Keywords

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