On the ground state energy of the delta-function Fermi gas

DOI10.1063/1.4964252zbMath1349.81215arXiv1604.02440OpenAlexW3100431150MaRDI QIDQ2832726

Craig A. Tracy, Harold Widom

Publication date: 14 November 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02440

zbMATH Keywords

Gaudin integral equation

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of solids (82D20) Statistical mechanics of gases (82D05) Statistical thermodynamics (82B30)

Related Items (9)

Complex Langevin and other approaches to the sign problem in quantum many-body physics ⋮ Love--Lieb Integral Equations: Applications, Theory, Approximations, and Computations ⋮ On the Ground State Energy of the Delta-function Fermi Gas II: Further Asymptotics ⋮ New renormalons from analytic trans-series ⋮ A new renormalon in two dimensions ⋮ Ground state energy of the δ-Bose and Fermi gas at weak coupling from double extrapolation ⋮ Solution of a Homogeneous Version of Love Type Integral Equation in Different Asymptotic Regimes ⋮ Exact perturbative results for the Lieb-Liniger and Gaudin-Yang models ⋮ Resurgence for superconductors

Cites Work

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