---
res:
bibo_abstract:
- Recent developments in the physics of low-density trapped gases make it worthwhile
to verify old, well-known results that, while plausible, were based on perturbation
theory and assumptions about pseudopotentials. We use and extend recently developed
techniques to give a rigorous derivation of the asymptotic formula for the ground-state
energy of a dilute gas of N fermions interacting with a short-range, positive
potential of scattering length a. For spin-12 fermions, this is E∼E0+(22m)2πNa,
where E0 is the energy of the noninteracting system and is the density. A similar
formula holds in two dimensions (2D), with a replaced by ln(a2). Obviously this
2D energy is not the expectation value of a density-independent pseudopotential.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Élliott
foaf_name: Lieb, Élliott H
foaf_surname: Lieb
- foaf_Person:
foaf_givenName: Robert
foaf_name: Robert Seiringer
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
- foaf_Person:
foaf_givenName: Jan
foaf_name: Solovej, Jan P
foaf_surname: Solovej
bibo_doi: 10.1103/PhysRevA.71.053605
bibo_issue: '5'
bibo_volume: 71
dct_date: 2005^xs_gYear
dct_publisher: American Physical Society@
dct_title: Ground state energy of the low density Fermi gas@
...