### Abstract

The electromagnetic linear and angular momenta are defined as an integral of the appropriate density over a forward lightcone. It will be shown how to relate the electromagnetic momenta, for a system of charged point particles, as an integral over finite segments of each world line. Other treatments of this problem, where the momenta is defined as the integral over a spacelike hyperplane, require the integral over infinite segments of the world lines. In general, these integrals diverge for point particles. However, the integrals over the forward lightcones are finite. Several examples are worked.

Original language | English (US) |
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Pages (from-to) | 1400-1402 |

Number of pages | 3 |

Journal | Journal of Mathematical Physics |

Volume | 32 |

Issue number | 5 |

DOIs | |

State | Published - Jan 1 1991 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

**Electromagnetic momenta for systems of charged particles.** / Willis, Barton L.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 32, no. 5, pp. 1400-1402. https://doi.org/10.1063/1.529293

}

TY - JOUR

T1 - Electromagnetic momenta for systems of charged particles

AU - Willis, Barton L.

PY - 1991/1/1

Y1 - 1991/1/1

N2 - The electromagnetic linear and angular momenta are defined as an integral of the appropriate density over a forward lightcone. It will be shown how to relate the electromagnetic momenta, for a system of charged point particles, as an integral over finite segments of each world line. Other treatments of this problem, where the momenta is defined as the integral over a spacelike hyperplane, require the integral over infinite segments of the world lines. In general, these integrals diverge for point particles. However, the integrals over the forward lightcones are finite. Several examples are worked.

AB - The electromagnetic linear and angular momenta are defined as an integral of the appropriate density over a forward lightcone. It will be shown how to relate the electromagnetic momenta, for a system of charged point particles, as an integral over finite segments of each world line. Other treatments of this problem, where the momenta is defined as the integral over a spacelike hyperplane, require the integral over infinite segments of the world lines. In general, these integrals diverge for point particles. However, the integrals over the forward lightcones are finite. Several examples are worked.

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UR - http://www.scopus.com/inward/citedby.url?scp=36449007306&partnerID=8YFLogxK

U2 - 10.1063/1.529293

DO - 10.1063/1.529293

M3 - Article

AN - SCOPUS:36449007306

VL - 32

SP - 1400

EP - 1402

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 5

ER -