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Least Action Principle for Lorentz Force in Dilaton-Maxwell Electrodynamics

  • Physics of Elementary Particles and Atomic Nuclei. Theory
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Abstract

The least action principle is established for the dynamics of a test particle in a dilaton-Maxwell background. These dynamics and background are invariant under the action of the dilatation transformation; explicit form of the corresponding generalization of the Lorentz force is established for the considered model. On a stationary background, we have found the integral of motion of the energy type. This integral is used to resolve the radial dynamics of test particles in a spherically symmetric electrostatic background.

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University), Moscow, 125993, Russia

    I. P. Denisova & O. V. Kechkin

  2. D.V. Skobeltsyn Institute of Nuclear Physics, M.V. Lomonosov Moscow State University, Moscow, 119234, Russia

    O. V. Kechkin

  3. Faculty of Physics, M.V. Lomonosov Moscow State University, Moscow, 119991, Russia

    O. V. Kechkin

Authors
  1. I. P. Denisova
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  2. O. V. Kechkin
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Correspondence to I. P. Denisova.

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Denisova, I.P., Kechkin, O.V. Least Action Principle for Lorentz Force in Dilaton-Maxwell Electrodynamics. Phys. Part. Nuclei Lett. 15, 464–468 (2018). https://doi.org/10.1134/S1547477118050059

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  • DOI: https://doi.org/10.1134/S1547477118050059

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