Ground state energy of the one-component charged Bose gas

Elliott H. Lieb, Jan Philip Solovej

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages809-847
Number of pages39
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Lieb, E. H., & Solovej, J. P. (2005). Ground state energy of the one-component charged Bose gas. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 809-847). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_50