Tensor Lagrangians, Lagrangians Equivalent to the Hamilton-Jacobi Equation and Relativistic Dynamics

Foundations of Physics volume 41, pages88–98(2011)Cite this article

Abstract

We deal with Lagrangians which are not the standard scalar ones. We present a short review of tensor Lagrangians, which generate massless free fields and the Dirac field, as well as vector and pseudovector Lagrangians for the electric and magnetic fields of Maxwell’s equations with sources. We introduce and analyse Lagrangians which are equivalent to the Hamilton-Jacobi equation and recast them to relativistic equations.

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Affiliations

  1. Department of Physics, Ben-Gurion University of the Negev, 84105, Beer-Sheva, Israel

    Alexander Gersten

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  1. Alexander Gersten
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Correspondence to Alexander Gersten.

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Gersten, A. Tensor Lagrangians, Lagrangians Equivalent to the Hamilton-Jacobi Equation and Relativistic Dynamics. Found Phys 41, 88–98 (2011). https://doi.org/10.1007/s10701-009-9352-3

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Keywords

  • Scalar Lagrangians
  • Tensor Lagrangians
  • Hamilton-Jacobi equation
  • Relativistic dynamics