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msumm21

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"In quantum mechanics, such maximum information is contained in a wavefunction that simultaneously diagonalizes a complete set of commuting operators relevant to the system."

How does a wavefunction diagonalize an operator? I know some operators can be diagonalized with respect to certain basis sets of eigen functions, but I don't know what it means for a single wavefunction to diagonalize an operator. Maybe it should say the wave function is an eigenvector of every operator in a complete set of commuting operators?

The book is "Introductory Quantum Mechanics" forth Ed. and the author is Liboff.

Thanks