The energy of dilute Bose gases

• 成果类型: Article
• 署名作者: Fournais, Soren; Solovej, Jan Philip
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2020.192.3.5
• 发表日期: 2020
• 页码: 893-976
• 关键词: ground-state energy; excitation spectrum; interacting bosons; one-component

摘要

For a dilute system of non-relativistic bosons interacting through a positive, compactly supported, L-1-potential v with scattering length a we prove that the ground state energy density satisfies the bound e(rho) >= 4 pi a rho(2)(1 + 128/15 root pi root rho a(3) + o(root rho a(3))), thereby proving the Lee-Huang-Yang formula for the energy density.