Summary
A model forN classical relativistic particles with action-at-a-distance interaction is proposed. It is the generalization of previous models for two particles. As in these models the interaction acts instantaneously among the particles in the centre-of-mass frame. There is a universal arbitrary potential, and therefore the system turns out to be only quasi-separable for long-range interactions. However, we find that there is separability for finite-range interactions.
Riassunto
Si propone un modello perN particelle relativistiche classiche con interazione del tipo azione a distanza, che è la generalizzazione di precedenti modelli a due particelle. Come in questi modelli l'interazione agisce istantaneamente tra le particelle nel riferimento del centro di massa. C'è un arbitrario potenziale universale, per cui il sistema risulta solo quasi separabile per interazioni a lungo raggio. Comunique c'è separabilità per interazioni a raggio finito.
Резюме
Предлагается модель дляN классических релятивистских частиц с взаимодействием, включающим действие на расстоянии. Эта модель представляет обобщение предыдущих моделей для двух частиц. Как в указанных моделях, взаимодействие происходит мгновенно между частицами в системе центра масс. Имеется универсальный произвольный потенциал и, следовательно, оказывается, что система является только квази-сепарабельной для взаимодействий на больших расстояниях. Однако мы получаем, что возможно разделение для взаимодействий на конечных расстояниях.
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Lusanna, L. A model forN classical relativistic particles. Nuov Cim A 64, 65–88 (1981). https://doi.org/10.1007/BF02773367
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DOI: https://doi.org/10.1007/BF02773367