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November 2020 The energy of dilute Bose gases
Søren Fournais, Jan Philip Solovej
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Ann. of Math. (2) 192(3): 893-976 (November 2020). DOI: 10.4007/annals.2020.192.3.5

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 $e(\rho) \ge 4\pi a \rho^2(1 + \frac{128}{15\sqrt{\pi}} \sqrt{\rho a^3} + o(\sqrt{\rho a^3}))$, thereby proving the Lee-Huang-Yang formula for the energy density.

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Søren Fournais. Jan Philip Solovej. "The energy of dilute Bose gases." Ann. of Math. (2) 192 (3) 893 - 976, November 2020. https://doi.org/10.4007/annals.2020.192.3.5

Information

Published: November 2020
First available in Project Euclid: 21 December 2021

Digital Object Identifier: 10.4007/annals.2020.192.3.5

Subjects:
Primary: 81V70 , 81V73

Keywords: Bogolubov theory , dilute Bose gases , Lee-Huang-Yang formula , many-body quantum mechanics

Rights: Copyright © 2020 Department of Mathematics, Princeton University

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Vol.192 • No. 3 • November 2020
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