Ground state energy of the one-component charged Bose gas

Elliott H. Lieb, Jan Philip Solovej

Research output: Contribution to journalArticle

37 Scopus citations

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 - 0.402r-3/4s me4/ℏ2 in this limit, where rs = (3/4πρ)1/3e2m/ℏ2. 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.

Original languageEnglish (US)
Pages (from-to)127-163
Number of pages37
JournalCommunications In Mathematical Physics
Volume217
Issue number1
DOIs
StatePublished - Dec 1 2001

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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