GroundState Energy of a Finite System of Charged Particles
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 groundstate binding energy is rigorously proved to be greater than AN^{7/5} Ry, where A is an absolute constant. Results of earlier perturbationtheoretic 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.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 August 1967
 DOI:
 10.1063/1.1705389
 Bibcode:
 1967JMP.....8.1538D