00 3 GROUND STATE ENERGY OF THE TWO-COMPONENT CHARGED BOSE GAS

@inproceedings{SolovejyDepartments2000003G,
title={00 3 GROUND STATE ENERGY OF THE TWO-COMPONENT CHARGED BOSE GAS},
author={Jan Philip SolovejyDepartments},
year={2000}
}

Jan Philip SolovejyDepartments

Published 2000

We continue the study of the two-component charged Bose gas initiated by Dyson in 1967. He showed that the ground state energy for N particles is at least as negative as −CN7/5 for large N and this power law was verified by a lower bound found by Conlon, Lieb and Yau in 1988. Dyson conjectured that the exact constant C was given by a mean-field minimization problem that used, as input, Foldy’s calculation (using Bogolubov’s 1947 formalism) for the onecomponent gas. Earlier we showed that Foldy… CONTINUE READING