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

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 s...

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Bibliographic Details
Published in:arXiv.org 2013-08
Main Author: Raptis, T E
Format: Article
Language:English
Subjects:
Algebra
Electromagnetic fields
Permutations
Scalars
Superposition (mathematics)
Online Access:Get full text
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Summary: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.
ISSN:2331-8422