Ground state energy of the one-component charged Bose gas

Abstract

The model considered here is the jellium model in which there is a uniform, fixed background with charge density - eρ in a large volume V and in which N = ρV particles of electric charge +e and mass m move - the whole system being neutral. In 1961 Foldy used Bogolubov's 1947 method to investigate the ground state energy of this system for bosonic particles in the large ρ limit. He found that the energy per particle is -0.402rs-3/4 me4/Latin small letter h with stroke2 in this limit, where rs = (3/4πρ)1/3 e2 m/Latin small letter h with stroke2. Here we prove that this formula is correct, thereby validating, for the first time, at least one aspect of Bogolubov's pairing theory of the Bose gas. © 2005 Springer-Verlag Berlin Heidelberg New York.