High-density correlation energy expansion of the one-dimensional uniform electron gas
✍ Scribed by Loos, Pierre-François
- Book ID
- 118732917
- Publisher
- American Institute of Physics
- Year
- 2013
- Tongue
- English
- Weight
- 448 KB
- Volume
- 138
- Category
- Article
- ISSN
- 0021-9606
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📜 SIMILAR VOLUMES
The particle number N fluctuates in a spherical volume fragment of a uniform electron gas. In an ideal classical-gas or "Hartree" model, the fluctuation is strong, with ( N ) 2 = N . We show in detail how this fluctuation is reduced by exchange in the ideal Fermi gas and further reduced by Coulomb c
## Abstract We show that, in the high‐density limit, restricted Møller‐Plesset (RMP) perturbation theory yields __E__ = π^−2^(1 − ln 2) ln __r__~s~ + __O__(__r__) for the correlation energy per electron in the uniform electron gas, where __r__~s~ is the Seitz radius. This contradicts an earlier der