Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Relations between N-representable n-particle densities

Pistol, Mats-Erik LU (2006) In Chemical Physics Letters 422(4-6). p.363-366
Abstract
We show that the convex set that determines which n-particle densities can arise from an N-particle wavefunction becomes smaller when N increases. We also show that their boundaries have empty intersection for fermions (but not for bosons). The N-representability conditions thus become more constraining for more particles. Finally, we show that it is impossible, in a combinatorial way, to determine a unique n-particle density that integrates to a given in-particle density (where m < n). (c) 2006 Elsevier B.V. All rights reserved.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Chemical Physics Letters
volume
422
issue
4-6
pages
363 - 366
publisher
Elsevier
external identifiers
  • wos:000237840200014
  • scopus:33646160205
ISSN
0009-2614
DOI
10.1016/j.cplett.2006.02.057
language
English
LU publication?
yes
id
b2f654e5-6946-4a51-ab7b-bfc1a729cce3 (old id 408419)
date added to LUP
2016-04-01 17:15:50
date last changed
2022-03-31 11:07:18
@article{b2f654e5-6946-4a51-ab7b-bfc1a729cce3,
  abstract     = {{We show that the convex set that determines which n-particle densities can arise from an N-particle wavefunction becomes smaller when N increases. We also show that their boundaries have empty intersection for fermions (but not for bosons). The N-representability conditions thus become more constraining for more particles. Finally, we show that it is impossible, in a combinatorial way, to determine a unique n-particle density that integrates to a given in-particle density (where m &lt; n). (c) 2006 Elsevier B.V. All rights reserved.}},
  author       = {{Pistol, Mats-Erik}},
  issn         = {{0009-2614}},
  language     = {{eng}},
  number       = {{4-6}},
  pages        = {{363--366}},
  publisher    = {{Elsevier}},
  series       = {{Chemical Physics Letters}},
  title        = {{Relations between N-representable n-particle densities}},
  url          = {{http://dx.doi.org/10.1016/j.cplett.2006.02.057}},
  doi          = {{10.1016/j.cplett.2006.02.057}},
  volume       = {{422}},
  year         = {{2006}},
}