TY - JOUR
T1 - Electrodynamics of Relativistic Particles Through Non-Standard Lagrangian
AU - El-Nabulsi , Rami Ahmad
JO - Journal of Atomic and Molecular Sciences
VL - 3
SP - 268
EP - 278
PY - 2014
DA - 2014/05
SN - 5
DO - http://doi.org/10.4208/jams.040214.061414a
UR - https://global-sci.org/intro/article_detail/jams/8313.html
KW - non-standard Lagrangians, modified relativistic electrodynamics, modified Hamiltonian.
AB - <p style="text-align: justify;">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.</p>