Hilbert–Schmidt 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.

References

• P.W. Anderson, Phys. Rev. Lett., 18, (1967) 1049
• P.W. Anderson, Phys. Rev, 164, (1967) 352