Publication
Title
Particle density and non-local kinetic energy density functional for two-dimensional harmonically confined Fermi vapors
Author
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.
Language
English
Source (journal)
European physical journal : D : atomic, molecular and optical physics. - Berlin
Publication
Berlin : 2001
ISSN
1434-6060
Volume/pages
15:3(2001), p. 315-320
ISI
000171300100006
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 10.08.2017
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