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Investigations of random pair densities and the application to the N-representability problem

Pistol, Mats-Erik LU (2007) In Chemical Physics Letters 449(1-3). p.208-211
Abstract
We show that random pair densities that can arise from a many-body wavefunction have a distinct distribution of their eigenvalues, when interpreted as a kernel of an integral operator. This gives a probabilistic condition for pair densities as well as two-particle density matrices to be obtainable from a wavefunction. The condition depends on the number of particles in the system.
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
449
issue
1-3
pages
208 - 211
publisher
Elsevier
external identifiers
  • wos:000251575300040
  • scopus:36048944495
ISSN
0009-2614
DOI
10.1016/j.cplett.2007.10.013
language
English
LU publication?
yes
id
a535156c-c024-4681-b1d7-3ef6b91e26c8 (old id 943290)
date added to LUP
2016-04-01 17:07:56
date last changed
2025-10-14 09:00:46
@article{a535156c-c024-4681-b1d7-3ef6b91e26c8,
  abstract     = {{We show that random pair densities that can arise from a many-body wavefunction have a distinct distribution of their eigenvalues, when interpreted as a kernel of an integral operator. This gives a probabilistic condition for pair densities as well as two-particle density matrices to be obtainable from a wavefunction. The condition depends on the number of particles in the system.}},
  author       = {{Pistol, Mats-Erik}},
  issn         = {{0009-2614}},
  language     = {{eng}},
  number       = {{1-3}},
  pages        = {{208--211}},
  publisher    = {{Elsevier}},
  series       = {{Chemical Physics Letters}},
  title        = {{Investigations of random pair densities and the application to the N-representability problem}},
  url          = {{http://dx.doi.org/10.1016/j.cplett.2007.10.013}},
  doi          = {{10.1016/j.cplett.2007.10.013}},
  volume       = {{449}},
  year         = {{2007}},
}