Lower bound on fermion binding energies

@article{Juillet2001LowerBO,
  title={Lower bound on fermion binding energies},
  author={Olivier Juillet and Sonia Fleck and L. Theu{\ss}l and Jean Marc Richard and K{\'a}lm{\'a}n Varga},
  journal={Physical Review B},
  year={2001},
  volume={63},
  pages={073102}
}
We derive a lower bound for the ground-state energy ${E}^{F}(N,S)$ of N fermions with total spin S in terms of binding energies ${E}^{F}(N\ensuremath{-}1,S\ifmmode\pm\else\textpm\fi{}1/2)$ of $(N\ensuremath{-}1)$ fermions. Numerical examples are provided for some simple short-range or confining potentials. 

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