Theoretical and Mathematical Physics

, Volume 104, Issue 2, pp 1008–1012 | Cite as

Canonical transformations for constrained systems

  • V. P. Pavlov


A standard procedure for transition from Lagrangian to Hamiltonian description of constrained dynamics was proposed by the author in [1]. This work shows that the procedure allows one to clarify the canonical transformation sense in phase space for these systems and, in particular, to describe the Lagrangian class which gives the same dynamics.


Phase Space Standard Procedure Canonical Transformation Hamiltonian Description Transformation Sense 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    V. P. Pavlov,Teor. Mat. Fiz.,92, No. 3, 1020–1023 (1992).Google Scholar
  2. 2.
    V. I. Arnold,Mathematical Methods of Classical Mechanics, Springer, Berlin-Heidelberg-New York (1978).Google Scholar
  3. 3.
    C. Godbillon,Géometrie Différentielle et Méchanique Analytique, Hermann, Paris (1969).Google Scholar
  4. 4.
    L. D. Faddeev,Teor. Mat. Fiz.,1, No. 1, 1–12 (1969).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • V. P. Pavlov
    • 1
    • 2
    • 3
  1. 1.Russian Foundation for Fundamental ResearchUSSR
  2. 2.Steklov Mathematical InstituteRussian Academy of SciencesUSSR
  3. 3.Independent University of MoscowUSSR

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