@article{2362,
  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.},
  author       = {Lieb, Élliott and Seiringer, Robert and Solovej, Jan},
  issn         = {1094-1622},
  journal      = {Physical Review A - Atomic, Molecular, and Optical Physics},
  number       = {5},
  publisher    = {American Physical Society},
  title        = {{Ground state energy of the low density Fermi gas}},
  doi          = {10.1103/PhysRevA.71.053605},
  volume       = {71},
  year         = {2005},
}