Analysis of a simple equation for the ground state energy of the Bose gas

DOI10.2140/paa.2020.2.659zbMath1465.35345arXiv1912.04987OpenAlexW3105007277MaRDI QIDQ2020198

Elliott H. Lieb, Ian Jauslin, Eric Anders Carlen

Publication date: 23 April 2021

Published in: Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04987

zbMATH Keywords

partial differential equationsintegrodifferential equationBose gas

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of plasmas (82D10) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime ⋮ Analysis of a Simple Equation for the Ground State of the Bose Gas II: Monotonicity, Convexity, and Condensate Fraction ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ A new second-order upper bound for the ground state energy of dilute Bose gases

Cites Work

• Cluster expansion in the canonical ensemble
• The second order upper bound for the ground energy of a 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
• The ground state energy of a dilute two-dimensional Bose gas.

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