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Answer by user23061 for Implications of orthonormal wavefunctions

If you have two orthonormal states $|\psi\rangle$ and $|\phi\rangle$,$$ \langle \psi|\phi\rangle = 0,$$there is no guarantee that the term$$ \langle\psi|\hat{A}|\phi\rangle$$vanishes. All depends on...

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Implications of orthonormal wavefunctions

For orthonormal functions $\psi$ and $\phi$, by definition;$$\langle \psi|\phi\rangle=0$$However, when a wavefunction, $f$, is expressed as a linear combination of these orthonormal...

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