A new many-body solution of the Friedel resonance problem

It is numerically shown that the groundstate of the Friedel problem (consisting of a conduction band and a d-resonance), occupied with (n+1) electrons, can be written as Psi = (Aa(0)*+Bd*) Pi(nu=1)(n) a(nu)*Phi(0), where a(0)* represents a localized conduction electron state, d* is the Friedel resonance state and Pi(nu=1)(n) a(nu)*Phi(0) is a Slater determinant of n single electron states a(i)*, (Phi(0) is the vacuum state). The a(i)* together with a(0)* are part of a full ortho-normalized basis of the conductions band.