Relations between N-representable n-particle densities
(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:
https://lup.lub.lu.se/record/408419
- author
- Pistol, Mats-Erik LU
- organization
- publishing date
- 2006
- 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 < 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}}, }