• Corpus ID: 119524085

Energy, Forces, Fields and the Lorentz Force Formula

  title={Energy, Forces, Fields and the Lorentz Force Formula},
  author={Artice M. Davis},
  journal={arXiv: Classical Physics},
  • A. Davis
  • Published 7 January 2019
  • Physics
  • arXiv: Classical Physics
We apply a simple decomposition to the energy of a moving particle. Based on this decomposition, we identify the potential and kinetic energies, then use them to give general definitions of momentum and the various kinds of forces exerted on the particle by fields, followed by the generalization of Newton's second law to accomodate these generally defined forces. We show that our generalization implies the Lorentz force law as well as Lagrange's equation, along with the usually accepted… 
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Our definitions do not generally resolve the aforementioned bone of contention

    Reading, 1964), v1, sec. 4.1. But see Falk, Hermann, and Schmid

    • The Feynman Lectures on Physics
    • 1983

    We are mixing matrix and vector notation here, but as all our vectors are column matrices this should not create confusion

      See the paper by Konopinski in reference

        See the sentence immediately after equation

          We are assuming the particle has no energy of rotation (so no explicit dependence upon rotational angles or velocities)