Many-particle systems: III Determination of the Ground State Energy of a System ofNParticles interacting by Attractive Inverse Square Forces
- 1 April 1962
- journal article
- Published by IOP Publishing in Proceedings of the Physical Society
- Vol. 79 (4) , 819-820
- https://doi.org/10.1088/0370-1328/79/4/319
Abstract
The energy of a system of N identical interacting particles may be found by considering the equivalent translation-invariant `one-particle' problem. This is illustrated in the case of attractive inverse-square force interaction. An upper and a lower limit for the ground-state energy is found immediately by integration over a single variable. The energy is determined within 8% and found to be proportional to the cube of the number of particles.Keywords
This publication has 2 references indexed in Scilit:
- Many-Particle Systems: IIProceedings of the Physical Society. Section A, 1956
- The Virial Theorem and the Variation PrinciplePhysical Review B, 1950