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Fokker-action principle for a system of particles interacting through a linear potential

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Il Nuovo Cimento B (1971-1996)

Summary

A Fokker-action principle for a system of scalar particles interacting through their time-symmetric relativistic generalization of linear potential is obtained. From this action we derive motion equations and conservation laws for total energy and angular momentum of the system, in which field contributions are included. These equations are exactly applied to the problem suggested by Schild of two particles moving in circular concentric orbits.

Riassunto

Si ottiene un principio di azione di Fokker per un sistema di particelle scalari interagenti attraverso la loro generalizzazione relativistica simmetrica nel tempo del potenziale lineare. Da questa azione si derivano equazioni di moto e leggi di conservazione per l’energia totale ed il momento angolare del sistema, dove sono inclusi i contributi del campo. Queste equazioni sono applicate esattamente al problema suggerito da Schild di due particelle che si muovono in due orbite circolari concentriche.

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Authors and Affiliations

  1. Departamento de Física, Facultad de Químicas, Alza, San Sebastian, España

    A. Rivacoba

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  1. A. Rivacoba
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Rivacoba, A. Fokker-action principle for a system of particles interacting through a linear potential. Nuov Cim B 84, 35–42 (1984). https://doi.org/10.1007/BF02721646

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  • DOI: https://doi.org/10.1007/BF02721646

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