Question: If A ^ A ^ and B ^ B ^ are compatible observables ( i . e . , [ A ^ , B ^

If A ^ A ^ and B ^ B ^ are compatible observables (i.e.,[ A ^, B ^]=0[ A ^, B ^]=0) and A ^ A ^ has non-degenerate eigenstates, show that any eigenstate of A ^ A ^ is also an eigenstate of B ^ B ^.

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