scholarly journals The Helmholtzian Operator and Maxwell-Cassano Equations of an Electromagnetic-nuclear Field

Author(s):  
Claude Michael Cassano

This article demonstrates that when acting on a four-vector doublet, the Helmholtzian may be factored into two 4×4/8×8 differential matrices, resulting in a four-vector doublet Klein-Gordon equation with source. This factorization enables yielding of a mass-generalized set of Maxwell’s equations.

2018 ◽  
Vol 15 (supp01) ◽  
pp. 1850166 ◽  
Author(s):  
Claus Lämmerzahl ◽  
Volker Perlick

We give an overview on the status and on the perspectives of Finsler gravity, beginning with a discussion of various motivations for considering a Finslerian modification of General Relativity. The subjects covered include Finslerian versions of Maxwell’s equations, of the Klein–Gordon equation and of the Dirac equation, and several experimental tests of Finsler gravity.


Author(s):  
Michael E. Peskin

This chapter presents the wave equations that govern the behavior of quantum mechanical particles with spin 0, 1/2, and 1 in relativistic theories. These equations are the Klein-Gordon equation, the Dirac equation, and Maxwell’s equations.


2021 ◽  
Vol 143 ◽  
pp. 110579
Author(s):  
Arshyn Altybay ◽  
Michael Ruzhansky ◽  
Mohammed Elamine Sebih ◽  
Niyaz Tokmagambetov

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