phy-4600/lecture_notes/1-27/Constant of Motion

Compatible Observables occur when commutator is equal to 0.

[Â,B̂] = ÂB̂ - B̂Â

Constant of Motion
------------------
    if d/dt Â = 0 and [Ĥ,Â] = 0, where Ĥ is the Hamiltonian operator.
    then Â is a constant of motion

    Thm: Two operators such that [Â,B̂] always have common Eigenstates
not sure 2016-02-24 15:26:01 +00:00			`Compatible Observables occur when commutator is equal to 0.`

			`[Â,B̂] = ÂB̂ - B̂Â`

			`Constant of Motion`
			`------------------`
			`if d/dt Â = 0 and [Ĥ,Â] = 0, where Ĥ is the Hamiltonian operator.`
			`then Â is a constant of motion`

			`Thm: Two operators such that [Â,B̂] always have common Eigenstates`