Length scales for BEC in the dilute Bose gas

DOI10.4171/ECR/18-1/7zbMath1480.81133arXiv2011.00309OpenAlexW4256683024MaRDI QIDQ2055106

Søren Fournais

Publication date: 3 December 2021

Full work available at URL: https://arxiv.org/abs/2011.00309

zbMATH Keywords

Bose-Einstein condensationmany-body quantum mechanicsBogolubov theorydilute Bose gases

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of gases (82D05) Bosonic systems in quantum theory (81V73)

Related Items (10)

The low energy spectrum of trapped bosons in the Gross–Pitaevskii regime ⋮ Bose–Einstein condensation on hyperbolic spaces ⋮ A second order upper bound on the ground state energy of a Bose gas beyond the Gross–Pitaevskii regime ⋮ The Bose gas in a box with Neumann boundary conditions ⋮ Bogoliubov excitation spectrum of Bose gases ⋮ Mini-workshop: A geometric fairytale full of spectral gaps and random fruit. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime ⋮ Bose–Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in ⋮ A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime ⋮ The energy of dilute Bose gases. II: The general case

Cites Work

• The mathematics of the Bose gas and its condensation.
• The second order upper bound for the ground energy of a Bose gas
• Ground state energy of the two-component charged Bose gas
• Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
• Bogoliubov theory in the Gross-Pitaevskii limit
• Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger
• A simple 2nd order lower bound to the energy of dilute Bose gases
• The energy of dilute Bose gases
• The second-order correction to the ground state energy of the dilute Bose gas
• Bose-Einstein condensation beyond the Gross-Pitaevskii regime
• Ground State Energy of the Low Density Bose Gas
• Ground-State Energy of a Hard-Sphere Gas
• Eigenvalues and Eigenfunctions of a Bose System of Hard Spheres and Its Low-Temperature Properties
• Ground state energy of the one-component charged Bose gas.

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