Ground state energy of the low density Fermi gas
Lieb, Élliott H
Robert Seiringer
Solovej, Jan P
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.
American Physical Society
2005
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https://research-explorer.app.ist.ac.at/record/2362
Lieb É, Seiringer R, Solovej J. Ground state energy of the low density Fermi gas. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2005;71(5). doi:<a href="https://doi.org/10.1103/PhysRevA.71.053605">10.1103/PhysRevA.71.053605</a>
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.71.053605
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