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Foundations of Physics

, Volume 35, Issue 8, pp 1433–1443 | Cite as

Filed Approach to Classical Mechanics

  • A. GerstenEmail author
Article

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.

Keywords

momentum field classical mechanics Hamilton-Jacobi equation 

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References

  1. 1.
    Goldstein, H. 1980Classical MechanicsAddison-WesleyReading, MassachusettsGoogle Scholar
  2. 2.
    Horwitz, L.P., Piron, C. 1973Helv. Phys. Acta.46316Google Scholar
  3. 3.
    Barut, A. O. 1980Electrodynamics and Classical Theory of Fields and ParticlesDoverNew YorkGoogle Scholar
  4. 4.
    Fanchi, J. R. 1993Parametrized Relativistic Quantum TheoryKluverBostonGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of PhysicsBen-Gurion University of the NegevBeer-ShevaIsrael
  2. 2.Department of PhysicsCity College of the City University of New YorkNew YorkUSA

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