## Uniqueness of eigenvector representation in a complete set of compatible observables

Sakurai states that if we have a complete, maximal set of compatible observables, say A,B,C… Then, an eigenvector represented by |a,b,c….>, where a,b,c… are respective eigenvalues, is unique. Why is it so? Why can’t there be two eigenvectors with same eigenvalues for each observable? Does maximality of the set has some role to play in … Read more