New Lower Bound on Fermion Binding Energies

Details New Lower Bound on Fermion Binding Energies New Lower Bound on Fermion Binding Energies

2000-08-10

arxiv.org/abs/quant-ph/0008048v1

Phys.Rev. B63 (2001) 073102

Physics

Quantum Physics

4 pages, 1 eps figure

Scientific paper

10.1103/PhysRevB.63.073102

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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