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Improved lower bounds for the ground-state energy of many-body systems

Dimitri Van Neck UGent, Yves Dewulf and Michel Waroquier UGent (2001) PHYSICAL REVIEW A. 63(6).
abstract
Alternative lower bounds for the binding energy of a quantum-mechanical system of interacting particles are presented. These bounds are expressed in terms of two-particle quantities and improve the conventional bounds of the Hall-Post type. They are constructed by considering not only the energy in the two-particle system, but also the structure of the pair wave function. We apply the formal results to various numerical examples, and show that in some cases dramatic improvement over the existing bounds is reached.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
SUBSYSTEMS, BINDING, HAMILTONIANS
journal title
PHYSICAL REVIEW A
Phys. Rev. A
volume
63
issue
6
article number
062107
Web of Science type
Article
Web of Science id
000169134800011
JCR category
OPTICS
JCR impact factor
2.81 (2001)
JCR rank
4/54 (2001)
JCR quartile
1 (2001)
ISSN
1050-2947
language
English
UGent publication?
yes
classification
A1
id
137985
handle
http://hdl.handle.net/1854/LU-137985
date created
2004-01-14 13:37:00
date last changed
2016-12-21 15:41:14
@article{137985,
  abstract     = {Alternative lower bounds for the binding energy of a quantum-mechanical system of interacting particles are presented. These bounds are expressed in terms of two-particle quantities and improve the conventional bounds of the Hall-Post type. They are constructed by considering not only the energy in the two-particle system, but also the structure of the pair wave function. We apply the formal results to various numerical examples, and show that in some cases dramatic improvement over the existing bounds is reached.},
  articleno    = {062107},
  author       = {Van Neck, Dimitri and Dewulf, Yves and Waroquier, Michel},
  issn         = {1050-2947},
  journal      = {PHYSICAL REVIEW A},
  keyword      = {SUBSYSTEMS,BINDING,HAMILTONIANS},
  language     = {eng},
  number       = {6},
  title        = {Improved lower bounds for the ground-state energy of many-body systems},
  volume       = {63},
  year         = {2001},
}

Chicago
Van Neck, Dimitri, Yves Dewulf, and Michel Waroquier. 2001. “Improved Lower Bounds for the Ground-state Energy of Many-body Systems.” Physical Review A 63 (6).
APA
Van Neck, D., Dewulf, Y., & Waroquier, M. (2001). Improved lower bounds for the ground-state energy of many-body systems. PHYSICAL REVIEW A, 63(6).
Vancouver
1.
Van Neck D, Dewulf Y, Waroquier M. Improved lower bounds for the ground-state energy of many-body systems. PHYSICAL REVIEW A. 2001;63(6).
MLA
Van Neck, Dimitri, Yves Dewulf, and Michel Waroquier. “Improved Lower Bounds for the Ground-state Energy of Many-body Systems.” PHYSICAL REVIEW A 63.6 (2001): n. pag. Print.