Title
Differential virial relations in quantum theory and statistical mechanics of some inhomogeneous electron assemblies Differential virial relations in quantum theory and statistical mechanics of some inhomogeneous electron assemblies
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Physics letters: A. - Amsterdam, 1967, currens
Volume/pages
301(2002) :3-4 , p. 220-223
ISSN
0375-9601
ISI
000178020500017
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Starting with the canonical or Bloch density matrix for independent electrons moving in a confining potential V(x), a quite general differential virial relation is established in statistical mechanics in one dimension. While such generality is not achieved in two and three dimensions, results are presented for (a) harmonic confinement in both two and three dimensions and (b) a bare Coulomb field in three dimensions. The corresponding fermion ground-state relations in quantum mechanics are finally referred to. (C) 2002 Elsevier Science B.V. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/68fb46/af26705.pdf
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