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# Anderson orthogonality theorem

The Anderson orthogonality theorem is a theorem in physics by the physicist P. W. Anderson.

It relates to the introduction of a magnetic impurity in a metal. When a magnetic impurity is introduced into a metal, the conduction electrons will tend to screen the potential V(r) that the impurity creates. The N-electron ground state for the system when V(r) = 0, which corresponds to the absence of the impurity and $V(r) \neq 0$, which corresponds to the introduction of the impurity are orthogonal.