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Lower bound on fermion binding energies

Abstract : We derive a new lower bound for the ground state energy $E^{\rm F}(N,S)$ of N fermions with total spin S in terms of binding energies $E^{\rm F}(N-1,S \pm 1/2)$ of (N-1) fermions. Numerical examples are provided for some simple short-range or confining potentials.
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Submitted on : Friday, September 14, 2001 - 9:24:32 AM
Last modification on : Friday, September 10, 2021 - 1:50:06 PM

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O. Juillet, S. Fleck, L. Theussl, J.-M. Richard, K. Varga. Lower bound on fermion binding energies. Physical Review B: Condensed Matter and Materials Physics (1998-2015), American Physical Society, 2001, 63, 073102-(4 p.). ⟨10.1103/PhysRevB.63.073102⟩. ⟨in2p3-00009762⟩



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