Abstract:
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.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received: 4 November 1997 / Accepted: 19 November 1997
Rights and permissions
About this article
Cite this article
Bergmann, G. Geometrical derivation of a new ground state formula for the n-electron Friedel resonance model. Eur. Phys. J. B 2, 233–235 (1998). https://doi.org/10.1007/s100510050245
Issue Date:
DOI: https://doi.org/10.1007/s100510050245