8. The observables Lr, Ly, L2 are incompatible since they do not commute, that is, [L,...

 

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8. The observables Lr, Ly, L2 are incompatible since they do not commute, that is, [L, L] = ihL;; [Ly, L.] = iħL;; [Î,, Î] = %3D (Note that we can obtain these relations by cyclic permutations : r + y, y 2, z → r). Show that these observables satisfy the Generalized Uncertainty Principle where oA is the variance of the observable Å such that it satisfies thato = ((A – (Ä))). %3D 8. The observables Lr, Ly, L2 are incompatible since they do not commute, that is, [L, L] = ihL;; [Ly, L.] = iħL;; [Î,, Î] = %3D (Note that we can obtain these relations by cyclic permutations : r + y, y 2, z → r). Show that these observables satisfy the Generalized Uncertainty Principle where oA is the variance of the observable Å such that it satisfies thato = ((A – (Ä))). %3D