Summary
A new general classical motion equation for particles which interact only electromagnetically is shown to lead to nonrelativistic motion equations of differential-difference type, which have only causal, nonrunaway solutions, for several charge distributions.
Riassunto
Si mostra che una nuova equazione del moto classica generale per particelle che interagiscono solo elettromagneticamente porta ad equazioni del moto di tipo diferenziale-differenza, che hanno solo soluzioni causali non sfuggenti, per parecchie distribuzioni di carica.
Резюме
Показывается, что новое общее уравнение классического движения для частиц, которые взаимодействуют только электромгнитным образом, для некоторых распределений зарядов сводится к уравнениям нерелятивистского движения дифференциально-разностного типа, которые имеют причинные решения, не растущие слишком быстро.
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References
G. H. Goedecke:Nuovo Cimento,28 B, 225 (1975).
L. Page:Phys. Rev.,24, 296 (1924);11, 376 (1918).
D. Bohm andM. Weinstein:Phys. Rev.,74, 1789 (1948).
Sperical symmetry is not necessary for our results. Any extended distribution satisfying the symmetry requirements of eq. (B.8) of I will also lead to differential-difference equations of the type derived here.
W. L. Burke:Phys. Rev. A,2, 1501 (1970);Journ. Math. Phys.,12, 401 (1971).
F. Rohrlich:Classical Charged Particles, Sect.2–3 (Reading, Mass., 1965);Amer. Journ. Phys.,28, 39 (1960).
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Goedecke, G.H. Causal classical dynamics for charged particles. Nuov Cim B 30, 108–114 (1975). https://doi.org/10.1007/BF02721496
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DOI: https://doi.org/10.1007/BF02721496