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I Is Canonical Momentum conserved?

  1. Jun 18, 2016 #1


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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.
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  3. Jun 18, 2016 #2


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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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