Title
Particle density and non-local kinetic energy density functional for two-dimensional harmonically confined Fermi vapors
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Berlin ,
Subject
Physics
Source (journal)
European physical journal : D : atomic, molecular and optical physics. - Berlin
Volume/pages
15(2001) :3 , p. 315-320
ISSN
1434-6060
ISI
000171300100006
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We evaluate analytically some ground state properties of two-dimensional harmonically confined Fermi vapors with isotropy and for an arbitrary number of closed shells. We first derive a differential form of the virial theorem and an expression for the kinetic energy density in terms of the fermion particle density and its low-order derivatives. These results allow an explicit differential equation to be obtained for the particle density. The equation is third-order, linear and homogeneous. We also obtain a relation between the turning points of kinetic energy and particle densities, and an expression of the non-local kinetic energy density functional.
E-info
https://repository.uantwerpen.be/docman/iruaauth/445572/f244651.pdf
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