Ground-State Energy of a Dilute Fermi Gas

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dc.creatorLieb, Elliott H.
dc.creatorSeiringer, Robert
dc.creatorSolovej, Jan Philip
dc.date2005-07-19
dc.date.accessioned2026-07-07T04:32:14Z
dc.date.available2026-07-07T04:32:14Z
dc.descriptionRecent 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 1/2 fermions, this is $E \sim E^0 + (\hbar^2/2m) 2 πN ρa$, where $E^0$ is the energy of the non-interacting system and $ρ$ is the density.
dc.descriptionContribution to the proceedings of the 2005 International Conference on Differential Equations and Mathematical Physics, University of Alabama, Birmingham
dc.identifierhttps://arxiv.org/abs/math-ph/0507049
dc.identifierhttp://arxiv.org/abs/math-ph/0507049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58115
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.titleGround-State Energy of a Dilute Fermi Gas
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