English

New Lower Bound on Fermion Binding Energies

Quantum Physics 2009-11-06 v1 Nuclear Theory

Abstract

We derive a new lower bound for the ground state energy EF(N,S)E^{\rm F}(N,S) of N fermions with total spin S in terms of binding energies EF(N1,S±1/2)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.

Cite

@article{arxiv.quant-ph/0008048,
  title  = {New Lower Bound on Fermion Binding Energies},
  author = {O. Juillet and S. Fleck and L. Theussl and J. -M. Richard and K. Varga},
  journal= {arXiv preprint arXiv:quant-ph/0008048},
  year   = {2009}
}

Comments

4 pages, 1 eps figure