Filed approach to classical mechanics

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Abstract

We show that in classical mechanics the momentum may depend only on the coordinates and can thus be considered as a field. We formulate a special Lagrangian formalism as a result of which the momenta satisfy differential equations which depend only on the coordinates. The solutions correspond to all possible trajectories. As a bonus the Hamilton-Jacobi equation results in a very simple way.

Original languageEnglish
Pages (from-to)1433-1443
Number of pages11
JournalFoundations of Physics
Volume35
Issue number8
DOIs
StatePublished - 1 Aug 2005

Keywords

  • Classical mechanics
  • Hamilton-Jacobi equation
  • Momentum field

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