Ground state energy of the low density bose gas

Elliott Lieb, Jakob Yngvason

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Now that the properties of low temperature Bose gases at low density, ρ, can be examined exprimentally it is appropriate to revisit some of the formulas deduced by many authors four to five decades ago. One of these is that the leading term in the energy/particle is 2π Latin small letter h with stroke2 ρa/m, where a is the scattering length. Owing to the delicate and peculiar nature of bosonic correlations, four decades of research have failed to establish this plausible formula rigorously. The only known lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct bound is proved here.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages755-758
Number of pages4
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Ground state energy of the low density bose gas'. Together they form a unique fingerprint.

  • Cite this

    Lieb, E., & Yngvason, J. (2005). Ground state energy of the low density bose gas. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 755-758). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_46