Talk:Complete set of commuting observables
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FP Eblen (talk) 15:31, 2 June 2016 (UTC)The first sentence, "In quantum mechanics, a complete set of commuting observables (CSCO) is a set of commuting operators whose eigenvalues completely specify the state of a system.[1]," is somewhat incorrect I believe since a CSCO does not necessarily completely specify the state of a system. Instead, a CSCO is complete in the sense that all degeneracies have been removed or broken. A CSCO specifies all that "can be known about a system," but can easily be an incomplete specification of the state since some parameters of the state may be obtainable, or specified, only by some non-commuting observable(s).
Recommend the first sentence reads:
"In quantum mechanics, a complete set of commuting observables (CSCO) is a set of commuting operators whose eigenvalues completely specify all that can be known simultaneously about the state of a system."
Please correct me if I am wrong.
FP Eblen (talk) 15:31, 2 June 2016 (UTC)pateblen