A Closed Algebra of Clebsch Forms Derived from Whittaker Super-potentials and applications in electromagnetic research

T. E. Raptis

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arXiv · 1308.3932

A Closed Algebra of Clebsch Forms Derived from Whittaker Super-potentials and applications in electromagnetic research

T. E. Raptis

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Abstract

A type of closed exterior algebra in R3 under the cross product is revealed to hold between differential forms from the three Whittaker scalar potentials, associated with the fields of a moving electron. A special algebraic structure is revealed in the context of Clebsch reparametrization of these scalars, and a special prescription for the construction of permutation invariant electromagnetic fields is given as well as a superposition with parallel electric and magnetic components.

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T. E. Raptis. 2013-08-19. A Closed Algebra of Clebsch Forms Derived from Whittaker Super-potentials and applications in electromagnetic research. https://arxiv.org/abs/1308.3932

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