Title :
Description of electromagnetic processes in a matter in relativistic invariant form
Author_Institution :
Krylov State Res. Centre, St. Petersburg, Russia
Abstract :
The paper demonstrates that transition from electric displacement vector D to its solenoid equivalent D· allows constructing dual pair for vector and scalar electromagnetic potentials. Each pair of electromagnetic potentials representing 4-vector in Minkowsky space may be determined by 4-divergence of its antisymmetric tensor with Hertz vectors components, and these tensors are mutually conjugated. This simplifies representations in Minkowsky space of Maxwell equations solutions, Lagrange functions and energy and momentum conservation law and thus enhances description of electromagnetic processes in a matter.
Keywords :
Maxwell equations; Hertz vector components; Lagrange functions; Maxwell equations; Minkowsky space; antisymmetric tensor; electric displacement vector; electromagnetic process; energy conservation law; momentum conservation law; relativistic invariant form; scalar electromagnetic potential; solenoid equivalent; vector electromagnetic potential; Diffraction; Electric potential; Electromagnetics; Maxwell equations; Tensile stress; Vectors;
Conference_Titel :
Days on Diffraction (DD), 2014
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-7331-6
DOI :
10.1109/DD.2014.7036443