---
res:
bibo_abstract:
- 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.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Robert
foaf_name: Robert Seiringer
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-6781-0521
bibo_doi: 10.1142/S0129055X06002632
bibo_issue: '3'
bibo_volume: 18
dct_date: 2006^xs_gYear
dct_publisher: World Scientific Publishing@
dct_title: A correlation estimate for quantum many-body systems at positive temperature@
...