---
_id: '2364'
abstract:
- lang: eng
text: We present an inequality that gives a lower bound on the expectation value
of certain two-body interaction potentials in a general state on Fock space in
terms of the corresponding expectation value for thermal equilibrium states of
non-interacting systems and the difference in the free energy. This bound can
be viewed as a rigorous version of first-order perturbation theory for many-body
systems at positive temperature. As an application, we give a proof of the first
two terms in a high density (and high temperature) expansion of the free energy
of jellium with Coulomb interactions, both in the fermionic and bosonic case.
For bosons, our method works above the transition temperature (for the non-interacting
gas) for Bose-Einstein condensation.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. A correlation estimate for quantum many-body systems at positive
temperature. *Reviews in Mathematical Physics*. 2006;18(3):233-253. doi:10.1142/S0129055X06002632
apa: Seiringer, R. (2006). A correlation estimate for quantum many-body systems
at positive temperature. *Reviews in Mathematical Physics*, *18*(3),
233–253. https://doi.org/10.1142/S0129055X06002632
chicago: 'Seiringer, Robert. “A Correlation Estimate for Quantum Many-Body Systems
at Positive Temperature.” *Reviews in Mathematical Physics* 18, no. 3 (2006):
233–53. https://doi.org/10.1142/S0129055X06002632.'
ieee: R. Seiringer, “A correlation estimate for quantum many-body systems at positive
temperature,” *Reviews in Mathematical Physics*, vol. 18, no. 3, pp. 233–253,
2006.
ista: Seiringer R. 2006. A correlation estimate for quantum many-body systems at
positive temperature. Reviews in Mathematical Physics. 18(3), 233–253.
mla: Seiringer, Robert. “A Correlation Estimate for Quantum Many-Body Systems at
Positive Temperature.” *Reviews in Mathematical Physics*, vol. 18, no. 3,
World Scientific Publishing, 2006, pp. 233–53, doi:10.1142/S0129055X06002632.
short: R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
date_created: 2018-12-11T11:57:14Z
date_published: 2006-04-01T00:00:00Z
date_updated: 2020-07-14T12:45:40Z
day: '01'
doi: 10.1142/S0129055X06002632
extern: 1
intvolume: ' 18'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0601051
month: '04'
oa: 1
page: 233 - 253
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '4562'
quality_controlled: 0
status: public
title: A correlation estimate for quantum many-body systems at positive temperature
type: journal_article
volume: 18
year: '2006'
...