A new many-body solution of the Friedel resonance problem

Abstract

It is numerically shown that the groundstate of the Friedel problem (consisting of a conduction band and a dresonance), occupied with (n+ 1) electrons, can be written as Ψ = (A a ^*₀ +Bd*) Π ⁿ_v=1 a ^*_v Φ₀, where a ^*₀ represents a localized conduction electron state, d* is the Friedel resonance state and Π ⁿ_v=1 a ⁸_v Φ₀ is a Slater determinant of n single electron states a ^*_t , (Φ₀ is the vacuum state). The a ^* _i together with a ^*₀ are part of a full ortho-normalized basis of the conductions band.