Matter and electromagnetic fields: remarks on the dualistic and unitarian standpoints
Keywords
Maxwell equations, variational principles, solitary wavesAbstract
The study of the relation of matter and the electromagnetic field is a classical, intriguing problem both from physical and mathematical point of view. This relation can be interpreted from two different standpoints which, following [M. Born and L. Infeld, < i> Foundations of the new field theory< /i> , Proc. Roy. Soc. London Ser. A < b> 144< /b> (1934), 425–451], are called < i> unitarian standpoint< /i> and < i> dualistic standpoint< /i> .< /p> < p> In this paper we briefly describe two models which are related to the unitarian and the dualistic standpoint respectively. For each model it is possible to prove the existence of solitary waves which can be interpreted as matter particles.Downloads
Published
2005-03-01
How to Cite
1.
BENCI, Vieri and FORTUNATO, Donato. Matter and electromagnetic fields: remarks on the dualistic and unitarian standpoints. Topological Methods in Nonlinear Analysis. Online. 1 March 2005. Vol. 25, no. 1, pp. 23 - 40. [Accessed 20 April 2024].
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