A new many-body solution of the Friedel resonance problem
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- Bergmann, G. Z. Phys. B (1997) 102: 381. doi:10.1007/s002570050301
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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 = (Aa0*+Bd*) Πv=1nav*Φ0, where a0* represents a localized conduction electron state, d* is the Friedel resonance state and Πv=1nav8Φ0 is a Slater determinant of n single electron states at*, (Φ0 is the vacuum state). The ai* together with a0* are part of a full ortho-normalized basis of the conductions band.