A simple 2nd order lower bound to the energy of dilute bose gases
For a dilute system of non-relativistic bosons interacting through a positive, radial potential v with scattering length a we prove that the ground state energy density satisfies the bound $$e(\rho ) \ge 4\pi a \rho ^2 (1- C \sqrt{\rho a^3} \,)$$e(ρ)≥4πaρ2(1-Cρa3).
Gespeichert in:
| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
12 March 2020
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| In: |
Communications in mathematical physics
Year: 2020, Jahrgang: 376, Heft: 1, Pages: 323-351 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-020-03715-2 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00220-020-03715-2
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| Verfasserangaben: | Birger Brietzke, Søren Fournais, Jan Philip Solovej |
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| 520 | |a For a dilute system of non-relativistic bosons interacting through a positive, radial potential v with scattering length a we prove that the ground state energy density satisfies the bound $$e(\rho ) \ge 4\pi a \rho ^2 (1- C \sqrt{\rho a^3} \,)$$e(ρ)≥4πaρ2(1-Cρa3). | ||
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