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Ground‐State Energy of a Finite System of Charged Particles
Type:    Journal, Article
Title:    Ground‐State Energy of a Finite System of Charged Particles
Author(s):    Dyson, F. J.
Date:    1967/08
Abstract:    A trial wavefunction of superconducting type is postulated for the ground state of a system of N positive and N negative charges with Coulomb interactions in the absence of any exclusion principle. The ground‐state binding energy is rigorously proved to be greater than AN 7 5 Ry, where A is an absolute constant. Results of earlier perturbation‐theoretic calculations for an infinite system are confirmed. The author, with A. Lenard, has previously proved that the exclusion principle, holding for particles with one sign of charge only, is a sufficient condition for the stability of matter; the present paper shows that the exclusion principle is also necessary for stability.
Publisher:    AIP Publishing
Journal (full):    Journal of Mathematical Physics
Volume:    8
Issue:    8
Start Page:    1538
End Page:    1545
Link:    http://scitation.aip.org/content/aip/journal/jmp/8/8/10.1063/1.1705389

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