Discrete gradients in discrete classical mechanics

  • L. Renna


A simple model of discrete classical mechanics is given where, starting from the continuous Hamilton equations, discrete equations of motion are established together with a proper discrete gradient definition. The conservation laws of the total discrete momentum, angular momentum, and energy are demonstrated.


Field Theory Angular Momentum Elementary Particle Simple Model Quantum Field Theory 


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  1. Clarke, F. H. (1975).Transactions of the American Mathematical Society,205, 247–262.Google Scholar
  2. D'Innocenzo, A., Renna, L., and Rotelli, P. (1984).Physics Letters B,145, 268–270.Google Scholar
  3. D'Innocenzo, A., Renna, L., and Rotelli, P. (1986).European Journal of Physics, to be published.Google Scholar
  4. Friedberg, R., and Lee, T. D. (1983).Nuclear Physics B,225, 1–52.Google Scholar
  5. Greenspan, D. (1974).Bulletin of the American Mathematical Society,80, 553–555.Google Scholar
  6. Landau, L. D., and Lifshitz, E. M. (1969).Mechanics, Pergamon, New York.Google Scholar
  7. Lee, T. D. (1983).Physics Letters,122B, 217–220.Google Scholar
  8. Rockafellar, R. T. (1983).Mathematical Programming. The State of the Art, Springer-Verlag, New York, pp. 368–390.Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • L. Renna
    • 1
    • 2
  1. 1.Dipartimento di Fisica, dell'Universita'LecceItaly
  2. 2.Istituto Nazionale di Fisica NucleareSezione di BariItaly

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