A new second order upper bound for the ground state energy of dilute\n Bose gases

2021/01/15 by Giulia Basti, Basti, Giulia, Serena Cenatiempo +3 · 1 citation
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Gas Dynamics and Kinetic Theory #Advanced Thermodynamics and Statistical Mechanics

paper · pdf · doi:10.48550/arxiv.2101.06222

Abstract

We establish an upper bound for the ground state energy per unit volume of a\ndilute Bose gas in the thermodynamic limit, capturing the correct second order\nterm, as predicted by the Lee-Huang-Yang formula. This result has been first\nestablished in J. Stat. Phys. 136(3) by H.-T. Yau and J. Yin. Our proof, which\napplies to repulsive and compactly supported V \∈ L³ (\ℝ³), gives\nbetter rates and, in our opinion, is substantially simpler.\n

Cited by

• Ground State Energy of Dilute Fermi Gases in 1D

Related

• Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
• Upper bound for the ground state energy of a dilute Bose gas of hard spheres
• The Ground State Energy of a Two-Dimensional Bose Gas
• The energy of dilute Bose gases II: The general case
• The free energy of dilute Bose gases at low temperatures