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Electron–hole generations: a numerical approach to interacting fermion systems

✍ Scribed by Richard Berkovits


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
167 KB
Volume
127
Category
Article
ISSN
0038-1098

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✦ Synopsis


A new approach, motivated by Fock space localization, for constructing a reduced many-particle Hilbert space is proposed and tested. The self-consistent Hartree -Fock approach is used to obtain a single-electron basis from which the many-particle Hilbert space is constructed. For a given size of the truncated many particle Hilbert space, only states with the lowest number of particle -hole excitations are retained and exactly diagonalized. This method is shown to be more accurate than previous truncation methods, while there is no additional computational complexity.


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The uniform electron fluid is the reference model for density functional calculations. Even for this system, many-body perturbation theory, and related methods become questionable when the density parameter r s exceeds unity. Hence, quantum Monte Carlo (QMC) simulation has been almost the only appli