The N7/5 law for charged bosons

Joseph G. Conlon, Elliott H. Lieb, Horng Tzer Yau

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Non-relativistic bosons interacting with Coulomb forces are unstable, as Dyson showed 20 years ago, in the sense that the ground state energy satisfies E0 - AN7/5. We prove that 7/5 is the correct power by proving that E0 - BN7/5. For the non-relativistic bosonic, one-component jellium problem, Foldy and Girardcau showed that E0 - CNρ1/4. This 1/4 law is also validated here by showing that E0 - DNρ1/4. These bounds prove that the Bogoliubov type paired wave function correctly predicts the order of magnitude of the energy.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages777-808
Number of pages32
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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