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Two-body Coulomb and gravitational interactions of relativistic pointlike particles

Двухчастичные кулоновские и гравитационные взаимодействия релятивистских точечых частиц

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Il Nuovo Cimento B (1971-1996)

Summary

The relativistic mechanics of two scalar particles in a 12-dimensional phase space is considered. The Coulomb and gravitational two-body interactions are studied and the resulting motion is completely solved. This theory with the correct Galilcian limit is in close agreement with the treatment of a single relativistic particle in an external field. The latter case is then systematically recovered by taking the appropriate limit on the masses of the particles.

Riassunto

Si considera la meccanica relativistica di due particelle scalari in uno spazio delle fasi 12-dimensionale, Si studiano le interazioni coulombiane e gravitazionali a due corpi ed il moto che se ne deduce è completamente risolto. Questa teoria, avente il corretto limite di Galileo, è in stretto accordo con la trattazione di una singola particella relativistica in un campo estranco. Quest'ultimo caso è poi sistematicamente riottenuto effettuando il limite opportuno sulle masse delle particelle.

Резюме

Рассматривается релятивистская механика двух скалярных частиц в 12-мерном фазовом пространстве. Исследуются кулоновские и гравитационные двух-часичные взаимодействия. Полностью описывается результирующее движение. Предложенная теория, с правильным галилеевым пределом, согласуется с рассмотрением одной релятивистской частицы во внешнем поле. Последний случай получается при рассмотрении соответствующего предела по массам частиц.

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Authors and Affiliations

  1. Osservatorio Astrofisico di Arcetri, Arcetri (Firenze)

    R. Giachetti

  2. Sezione di Firenze, Istituto Nazionale di Fisica Nucleare, Firenze, Italy

    R. Giachetti & E. Sorace

Authors
  1. R. Giachetti
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  2. E. Sorace
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Giachetti, R., Sorace, E. Two-body Coulomb and gravitational interactions of relativistic pointlike particles. Nuov Cim B 63, 666–678 (1981). https://doi.org/10.1007/BF02755106

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  • DOI: https://doi.org/10.1007/BF02755106

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