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Anderson orthogonality theorem

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Theorem in physics

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 ) {\displaystyle V(r)} that the impurity creates. The N-electron ground state for the system when V ( r ) = 0 {\displaystyle V(r)=0} , which corresponds to the absence of the impurity and V ( r ) 0 {\displaystyle V(r)\neq 0} , which corresponds to the introduction of the impurity are orthogonal in the thermodynamic limit N {\displaystyle N\to \infty } .

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