Upper Bound to the Ground-State Energy of-Body Systems and Conditions on the Two-Body Potentials Sufficient to Guarantee the Existence of Many-Body Bound States
- 20 May 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 169 (4) , 789-793
- https://doi.org/10.1103/physrev.169.789
Abstract
We obtain simple conditions on the two-body potentials which guarantee that at least one bound state exists, when particles interact pairwise with such potentials. The same approach also yields an upper bound to the energy of the -body ground state.
Keywords
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