https://doi.org/10.1007/s100510050245
Geometrical derivation of a new ground state formula for the n-electron Friedel resonance model
Department of Physics,
University of Southern California,
Los Angeles, California 90089-0484, USA
Corresponding author: a bergmann@usc.edu
Received:
4
November
1997
Accepted:
19
November
1997
Published online: 15 March 1998
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
