The role of spatial topology in a toy model of classical electrodynamics in (1 + 1) dimensions

A. D. Boozer

doi:10.1016/j.physleta.2010.02.059

The role of spatial topology in a toy model of classical electrodynamics in (1 + 1) dimensions

A. D. Boozer

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We discuss the role of spatial topology in a toy model of classical electrodynamics in (1 + 1) dimensions. The model describes a collection of Newtonian point particles coupled to a pair of scalar fields E (t, x) and B (t, x), which mediate forces between the particles and support freely propagating radiation. We formulate the model on both a line and a circle, and show that the behavior of the model strongly depends on the choice of spatial topology.

Original language	English (US)
Pages (from-to)	1901-1908
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	374
Issue number	19-20
DOIs	https://doi.org/10.1016/j.physleta.2010.02.059
State	Published - Apr 19 2010

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Keywords

(1 + 1) dimensions
Classical electrodynamics
Retarded fields
Topology
Toy model

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10.1016/j.physleta.2010.02.059

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AB - We discuss the role of spatial topology in a toy model of classical electrodynamics in (1 + 1) dimensions. The model describes a collection of Newtonian point particles coupled to a pair of scalar fields E (t, x) and B (t, x), which mediate forces between the particles and support freely propagating radiation. We formulate the model on both a line and a circle, and show that the behavior of the model strongly depends on the choice of spatial topology.

KW - (1 + 1) dimensions

KW - Classical electrodynamics

KW - Retarded fields

KW - Topology

KW - Toy model

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ER -

The role of spatial topology in a toy model of classical electrodynamics in (1 + 1) dimensions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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