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I Is Canonical Momentum conserved?

  1. Jun 18, 2016 #1

    referframe

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    Given a system of charged particles interacting with an EM field. Is the canonical momentum always conserved? If so, what is the associated symmetry?

    Thanks in advance.
     
  2. jcsd
  3. Jun 18, 2016 #2

    vanhees71

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    The canonical momentum is conserved, if the Hamiltonian is independent of the corresponding configuration variable. Then the system is symmetric under translations of this configuration variable.
     
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