Summary
Aspects of the classical model of Einstein and Hopf are analysed in particular by estimating the error done when the term (1/c)p×B| τ0 is dismissed in the calculations. It is rigorously shown that neglecting this term from the expression for the impulse Δ is admissible in most practical circumstances. The implications of this assertion for random electrodynamics are quickly reviewed. Other approximations implicit in the model are briefly discussed, among these the deletion of the phase terms −k·x in the calculation of 〈Δ2〉.
Riassunto
Si analizzano in particolare aspetti del modello classico di Einstein e Hopf stimando l’errore fatto quando il termine (1/c)p×B| τ0 non è considerato nei calcoli. Si mostra rigorosamente che l’esclusione di questo termine dalle espressioni per l’impulso Δ è ammissibile in molte circostanze pratiche., Le implicazioni di questa asserzione per l’elettrodinamica casuale sono rivedute velocemente. Si discutono brevemente altre approssimazioni implicite nel modello, tra queste l’esclusione dei termini di fase −k·x nel calcolo di 〈Δ2〉.
Резюме
Анализируется классическая модель Эйнштейна и Хопфа. В частности, оценивается ошибка, связанная с пренебрежением членом (1/c[p×B| τ0 в вычислениях. Строго показывается, что пренебрежение этим членом в выражении для импульса Δ является возможным в большинстве практических случаев. Вкратце обсуждаются другие неявные приближения в этой модели, среди которых отбрасывание фазовых членов −k·x при вычислении 〈Δ2〉.
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Work partially supported by Colciencias.
Traduzione a cura della Redazione.
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Rueda, A., Lecompte, A. On approximations in the model of Einstein and Hopf. Nuov Cim A 52, 264–275 (1979). https://doi.org/10.1007/BF02902047
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DOI: https://doi.org/10.1007/BF02902047