Title
An exactly solvable model where properties of a fermion assembly are dominated by the highest, occupied level : case of harmonic confinement in d dimensions An exactly solvable model where properties of a fermion assembly are dominated by the highest, occupied level : case of harmonic confinement in d dimensions
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
London ,
Subject
Physics
Source (journal)
Journal of physics: A: mathematical and general. - London, 1968 - 2006
Volume/pages
36(2003) :17 , p. 4757-4762
ISSN
0305-4470
ISI
000183183500005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
It is shown explicitly that the fermion particle density rho(r) in d dimensions for isotropic harmonic confinement and odd d is determined by the one-dimensional wavefunctions of the highest occupied state. Knowledge of the Dirac density matrices for d = 1 and 2 suffices to completely determine the general d-dimensional matrices.
E-info
https://repository.uantwerpen.be/docman/iruaauth/8f4d69/27b4615.pdf
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