Ground-State Energy of a Dilute Fermi Gas

  title={Ground-State Energy of a Dilute Fermi Gas},
  author={E. Lieb and R. Seiringer and J. P. Solovej},
  journal={arXiv: Mathematical Physics},
  • E. Lieb, R. Seiringer, J. P. Solovej
  • Published 2005
  • Physics, Mathematics
  • arXiv: Mathematical Physics
  • 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 1/2 fermions, this is $E \sim E^0… CONTINUE READING
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