Premium
New sum rules relating the 1‐body momentum distribution of the homogeneous electron gas to the Kimball–Overhauser 2‐body wave functions (geminals) of its pair density
Author(s) -
Ziesche P.,
Pernal K.,
Tasnádi F.
Publication year - 2003
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200301820
Subject(s) - normalization (sociology) , sum rule in quantum mechanics , wave function , physics , momentum (technical analysis) , quantum mechanics , finance , sociology , anthropology , economics , quantum chromodynamics
Recently, new sum rules for the scattering phase shifts of the pair‐density geminals (being 2‐body‐wave functions which parametrize the pair density together with an appropriately chosen occupancy) have been derived from the normalization of the pair density [P. Ziesche, Phys. Rev. B 67 , 233102 (2003)]. Here, we present a generalization of these sum rules, which allows one in principle to calculate the momentum distribution from these geminals and their phase shifts. These contraction sum rules contain the afore mentioned (Friedel‐like) normalization sum rules as special cases.