Complete set of commuting observables

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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.

For example, in the case of the hydrogen atom, the Hamiltonian H, the angular momentum L and its projection L_z along any arbitrary z axis form a CSCO (if one ignores the spin of the proton and of the electron as well as the movement of the proton).

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