Electrodynamics of Relativistic Particles Through Non-Standard Lagrangian
DOI:
https://doi.org/10.4208/jams.040214.061414aKeywords:
non-standard Lagrangians, modified relativistic electrodynamics, modified Hamiltonian.Abstract
The main aim of this paper is to discuss the electrodynamics of relativistic dynamics of particles bases on the notion of the non-standard Lagrangians which have gained increasing importance in the theory of nonlinear differential equations, dissipative dynamical systems and theoretical physics. The mathematical settings are constructed starting from the modified Euler-Lagrange equation and modified Hamiltons equations. Some illustrative examples are considered and discussed.