Ground state energy of the low density Fermi gas

É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).


Journal Article | Published
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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.
Publishing Year
Date Published
2005-05-01
Journal Title
Physical Review A - Atomic, Molecular, and Optical Physics
Volume
71
Issue
5
IST-REx-ID

Cite this

Lieb É, Seiringer R, Solovej J. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 2005;71(5). doi:10.1103/PhysRevA.71.053605
Lieb, É., Seiringer, R., & Solovej, J. (2005). Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics, 71(5). https://doi.org/10.1103/PhysRevA.71.053605
Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical Physics 71, no. 5 (2005). https://doi.org/10.1103/PhysRevA.71.053605.
É. Lieb, R. Seiringer, and J. Solovej, “Ground state energy of the low density Fermi gas,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 5, 2005.
Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).
Lieb, Élliott, et al. “Ground State Energy of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 5, American Physical Society, 2005, doi:10.1103/PhysRevA.71.053605.

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