A set of inequalities between the ground state energies of many-body systems
- 1 February 1973
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 25 (2) , 387-391
- https://doi.org/10.1080/00268977300100351
Abstract
The energy EN of a system of N identical pairwise-interacting particles of mass M is shown to satisfy the inequalities where N > n ⩾ 2. These inequalities generalize the Stenschke result E 3(M) ⩾ 3E 2(3M/2). They hold for Bose or Fermi systems in any number of dimensions, and are shown to be the strongest possible of this type. Further extensions are made to the case where the potential is varied instead of the mass, or where both are varied together.Keywords
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