phy-4600/lecture_notes/1-27/Constant of Motion
2016-02-24 10:26:01 -05:00

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Compatible Observables occur when commutator is equal to 0.
[Â,B̂] = ÂB̂ - B̂Â
Constant of Motion
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if d/dt  = 0 and [Ĥ,Â] = 0, where Ĥ is the Hamiltonian operator.
then  is a constant of motion
Thm: Two operators such that [Â,B̂] always have common Eigenstates