Is Canonical Momentum conserved?

  • #1
referframe
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Main Question or Discussion Point

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.
 

Answers and Replies

  • #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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