Title
The Pauli potential in relation to the differential virial theorem with application to experiments on ultracold atomic gases of fermions
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Physics letters: A. - Amsterdam, 1967, currens
Volume/pages
372(2008) :44 , p. 6667-6669
ISSN
0375-9601
ISI
000261552700022
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In early work by the writer introducing the Pauli potential VP(r) into density functional theory, the relation of VP(r) to the, as yet unknown, single-particle kinetic energy density functional was emphasized. Here, because of ongoing experiments on ultracold atomic gases of fermions, an explicit expression for the first derivative of VP(r) for an arbitrary number of closed shells generated by harmonic confinement is derived in terms of the spherically symmetric particle density n(r) and the confining potential.
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