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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.
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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
2007-10-14 15:26:44
date last changed
2019-03-19 02:44:52
@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},
  volume       = {422},
  year         = {2006},
}