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Ukrainian Mathematical Journal

, Volume 53, Issue 8, pp 1220–1236 | Cite as

Ostrohrads'kyi Formalism for Singular Lagrangians with Higher Derivatives

  • V. V. Nesterenko
Article
  • 43 Downloads

Abstract

We generalize the Ostrohrads'kyi method for the construction of the Hamiltonian description of a nondegenerate (regular) variational problem of arbitrary order to the case of degenerate (singular) Lagrangians. These Lagrangians are of major interest in the contemporary theory of elementary particles. For simplicity, we consider the Hamiltonization of a variational problem defined by a singular second-order Lagrangian. Generalizing the Ostrohrads'kyi method, we derive equations of motion in the phase space. We determine a complete collection of constraints of the theory.

Keywords

Phase Space Elementary Particle Variational Problem Major Interest Arbitrary Order 
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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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • V. V. Nesterenko
    • 1
  1. 1.Joint Institute for Nuclear ResearchDubnaRussia

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