Abstract
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.
Original language | English |
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Journal | Annals of Mathematics |
Volume | 192 |
Issue number | 3 |
Pages (from-to) | 893-976 |
ISSN | 0003-486X |
DOIs | |
Publication status | Published - Nov 2020 |
Keywords
- many-body quantum mechanics
- dilute Bose gases
- Bogolubov theory
- Lee-Huang-Yang formula
- GROUND-STATE ENERGY
- EXCITATION SPECTRUM
- INTERACTING BOSONS
- ONE-COMPONENT