The energy of dilute Bose gases
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- The energy of dilute Bose gase
Accepted author manuscript, 836 KB, PDF document
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 |
|---|---|
| Journal | Annals of Mathematics |
| Volume | 192 |
| Issue number | 3 |
| Pages (from-to) | 893-976 |
| ISSN | 0003-486X |
| DOIs | |
| Publication status | Published - Nov 2020 |
- many-body quantum mechanics, dilute Bose gases, Bogolubov theory, Lee-Huang-Yang formula, GROUND-STATE ENERGY, EXCITATION SPECTRUM, INTERACTING BOSONS, ONE-COMPONENT
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