Geometrical derivation of a new ground state formula for the n-electron Friedel resonance model
نویسنده
چکیده
The n-electron ground state of the Friedel resonance model can be written as a single Slater determinant of n s-electrons plus one d-electron-s-hole companion. This new formula is derived geometrically in the Hilbert space. The derivation uses the fact that a n-electron Slater determinant, built from N band states, corresponds to a n-dimensional subspace in the N-dimensional Hilbert space. PACS. 71.10.-w Theories and models of many electron systems – 71.55.-i Impurity and defect levels Recently the author found by numerical variation [1] a new formula for the n-electron ground state of the Friedel Hamiltonian [2]. The Friedel Hamiltonian HFr for an sband with N states and a d resonance has the form:
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