TY - JOUR AB - 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. AU - Lieb, Élliott H AU - Robert Seiringer AU - Solovej, Jan P ID - 2362 IS - 5 JF - Physical Review A - Atomic, Molecular, and Optical Physics TI - Ground state energy of the low density Fermi gas VL - 71 ER -