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An explicit Lagrangian for a system of charged particles to higher-order terms: Quadrupole radiation
Authors:Demetrios D Dionysiou
Institution:1. Dept. of Mathematics, Hellenic Air-Force Academy, Dekelia-Attica, Greece
Abstract:Using a new way we give an explicit formula for the Lagrangian for any number of charged particles interacting with each other up to the fifth-order terms, assuming that this system does not emit dipole radiation. Knowing the Lagrangian up to the fifth-order terms, we obtain the quadrupole radiation of our system in exact agreement with the classical electromagnetic theory.
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