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Multipole moments in thomas‐fermi theory
Author(s) -
Day Orville W.,
Handler George S.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560100841
Subject(s) - multipole expansion , fermi gamma ray space telescope , discontinuity (linguistics) , physics , thomas–fermi model , fermi gas , spherical multipole moments , infinitesimal , quantum mechanics , electron , quantum electrodynamics , fast multipole method , mathematics , mathematical analysis
It is shown that the absence of multipole moments in the Thomas‐Fermi–Dirac (TFD) theory of the electron density is not sufficient to prove that there are no moments in Thomas‐Fermi theory. Nonzero Thomas‐Fermi moments are allowed if in the limit, as the discontinuity in the TFD density becomes infinitesimally small, there are finite contributions to the TFD moments from the region of space near the density discontinuity.