### Journals Information

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Universal Journal of Physics and Application Vol. 8(8), pp. 381 - 413 DOI: 10.13189/ujpa.2014.020804 Reprint (PDF) (232Kb) **

## Classical Electromagnetic Theory Revisiting: The A.M. Ampere Law and the Vacuum Field Theory Approach

**Anatolij K. Prykarpatski ^{*}**

The Department of Applied Mathematics at AGH University of Science and Technology, Krakow 30059, Poland

**ABSTRACT**

It is a review of some new electrodynamics models of interacting charged point particles and related with them fundamental physical aspects, motivated by the classical A.M.Amper's magnetic and H.Lorentz force laws, as well as O. Jefimenko electromagnetic field expressions. Based on the suitably devised vacuum field theory approach the Lagrangian and Hamiltonian reformulations of some alternative classical electrodynamics models are analyzed in details. A problem closely related to the radiation reaction force is analyzed aiming to explain the Wheeler and Feynman reaction radiation mechanism, well known as the absorption radiation theory, and strongly dependent on the Mach type interaction of a charged point particle in an ambient vacuum electromagnetic medium. There are discussed some relationships between this problem and the one derived within the context of the vacuum field theory approach. The R.Feynman's "heretical" approach to deriving the Lorentz force based Maxwell electromagnetic equations is also revisited, its complete legacy is argued both by means of the geometric considerations and its deep relation with the devised vacuum field theory approach. Based on completely standard reasonings, I reanalyze the Feynman's derivation from the classical Lagrangian and Hamiltonian points of view and construct its nontrivial relativistic generalization compatible with the vacuum field theory approach.

**KEYWORDS**

The Amper Law, Lorentz Type Force, Lorenz Constraint, Maxwell Electromagnetic Equations, Jefimenko Equations, Lagrangian and HamiltonianFormalisms, Radiation Theory, vFeynman’s Approach Legacy, Vacuum Field Theory Approach

**Cite This Paper in IEEE or APA Citation Styles**

(a). IEEE Format:

[1] Anatolij K. Prykarpatski , "Classical Electromagnetic Theory Revisiting: The A.M. Ampere Law and the Vacuum Field Theory Approach," Universal Journal of Physics and Application, Vol. 8, No. 8, pp. 381 - 413, 2014. DOI: 10.13189/ujpa.2014.020804.

(b). APA Format:

Anatolij K. Prykarpatski (2014). Classical Electromagnetic Theory Revisiting: The A.M. Ampere Law and the Vacuum Field Theory Approach. Universal Journal of Physics and Application, 8(8), 381 - 413. DOI: 10.13189/ujpa.2014.020804.