An explicit Lagrangian for a system of charged particles to higher-order terms - Quadrupole radiation

Physics

Scientific paper

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Charged Particles, Electromagnetic Radiation, Multipolar Fields, Particle Interactions, Power Series, Quadrupoles, Equations Of Motion, Field Theory (Physics), Tensors

Scientific paper

A new approach is used to obtain 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. Based on a knowledge of the Lagrangian up to the fifth-order terms, the quadrupole radiation of the system is obtained in exact agreement with the classical electromagnetic theory.

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