Summary
The fields and sources of the singular vector potential introduced by Bocchieri and Loinger, and discussed by Bohm and Hiley, are derived as distributions. Two generalized versions of Stokes’ theorem hold for these quantities.
Riassunto
Si deducono come distribuzioni i campi e le sorgenti del potenziale vettoriale singolare introdotto da Bocchieri e Loinger e discusso da Bohm e Hiley. Due versioni generalizzate del teorema di Stokes sono valide per queste grandezze.
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Reference
D. Bohm andB. J. Hiley:Nuovo Cimento A,52, 295 (1979).
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E. G. P. Rowe:Am. J. Phys.,47, 373 (1979).
R. H. Good andT. J. Nelson:Classical Theory of Electric and Magnetic Fields (New York, N. Y., 1971).
E. G. P. Rowe:Phys. Rev. D,18, 3639 (1978).
E. G. P. Rowe:J. Math. Phys. (N. Y.),19, 1962 (1978).
E. G. P. Rowe:J. Phys. A,12, 245 (1979).
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Rowe, E.G.P. Consequences of a singular gauge transformation. Nuov Cim A 56, 16–20 (1980). https://doi.org/10.1007/BF02729975
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DOI: https://doi.org/10.1007/BF02729975