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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 2 Issue 2 (1998) pp 233-235
Geometrical derivation of a new ground state formula for the n-electron Friedel resonance model
G. Bergmann (a)
Department of Physics, University of Southern California, Los Angeles, California 90089-0484, USA
Received: 4 November 1997 / Accepted: 19 November 1997
Abstract: The n-electron ground state of the Friedel resonance model can be written as a single Slater determinant of n s-electrons plus ${\it one}$ 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
(a) email: bergmann@usc.edu
Online publication: May 5, 1998
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