Exact Analysis of δ-Function Attractive Fermions and Repulsive Bosons in One-Dimension

DOI10.1143/JPSJ.74.1724zbMath1072.82510arXivcond-mat/0503033MaRDI QIDQ5314260

Toshiaki Iida, Miki Wadati

Publication date: 5 September 2005

Published in: Journal of the Physical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0503033

zbMATH Keywords

Bethe-ansatzbosonsFermionsGaudin integral equationLieb-Liniger integral equation\(\delta\)-function gashard-case bose gasTonks-Girardean gas

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Quantum equilibrium statistical mechanics (general) (82B10) Statistical mechanics of gases (82D05)

Related Items (8)

Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS-BEC crossover ⋮ Theoretical results of strongly interacting quasi-one-dimensional Fermi gases in the BCS–BEC crossover ⋮ BCS-BEC crossover in one-dimensional integrable model ⋮ Exact perturbative results for the Lieb-Liniger and Gaudin-Yang models ⋮ Evidence for the super Tonks–Girardeau gas ⋮ Exact analysis of a δ-function spin-1/2 attractive Fermi gas with arbitrary polarization ⋮ Renormalons in integrable field theories ⋮ Resurgence for superconductors

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