Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction

DOI10.1137/20M1376820zbMath1477.35189arXiv2010.13882OpenAlexW3199171550MaRDI QIDQ5155609

Elliott H. Lieb, Ian Jauslin, Eric Anders Carlen

Publication date: 7 October 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13882

zbMATH Keywords

Bose-Einstein condensationpartial differential equationsBose gas

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of plasmas (82D10)

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The condensed fraction of a homogeneous dilute Bose gas within the improved Hartree-Fock approximation ⋮ A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime

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