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A Canonical perturbation for infinite chain

  1. Sep 23, 2016 #1
    I've been Dealing with a problem of perturbation of the movement of an infinite chain of harmonic oscillator and I tried to apply the von Zeippel-Poincare formalism of canonical perturbation theory just to see what I get. This was too naive since I quickly stumbled into the problem of defining the averaging of a function when there are infinite angles to average.

    So, does anyone know if there is a theory of canonical perturbation theory for systems with infinite degrees of freedom?
  2. jcsd
  3. Sep 26, 2016 #2
    How about classical field theory? It may be thought as the infinite limit of a classical system with finite degrees of freedom.
  4. Sep 27, 2016 #3
    It might be something Do you know a canonical perturbation theory for classical field theory?
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