Canonical formalism

  • V. I. Arnold
Part of the Graduate Texts in Mathematics book series (GTM, volume 60)


The coordinate point of view will predominate in this chapter. The technique of generating functions for canonical transformations, developed by Hamilton and Jacobi, is the most powerful method available for integrating the differential equations of dynamics. In addition to this technique, the chapter contains an “odd-dimensional” approach to hamiltonian phase flows.


Wave Front Canonical Formalism Hamiltonian Function Canonical Transformation Vortex Line 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • V. I. Arnold
    • 1
  1. 1.Department of Mathematics Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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