Electrostatic analogy for integrable pairing force Hamiltonians

DOI10.1006/aphy.2002.6277zbMath1029.70007arXivcond-mat/0204432OpenAlexW3099465068WikidataQ62582607 ScholiaQ62582607MaRDI QIDQ699096

R. Raimondi, A. Mastellone, Antonio Di Lorenzo, Luigi Amico, Andreas Osterloh

Publication date: 1 October 2002

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0204432

zbMATH Keywords

thermodynamical limitBardeen-Cooper-Schrieffer modelelectrostatic analogyintegrable pairing-force Hamiltonians

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Electro- and magnetostatics (78A30)

Related Items (9)

Ground-state energies of the open and closed \(p + ip\)-pairing models from the Bethe Ansatz ⋮ Bethe Ansatz approach to the pairing fluctuations in the mesoscopic regime ⋮ Exactly solvable discrete BCS-type Hamiltonians and the six-vertex model ⋮ Fermi surface volume of interacting systems ⋮ Particle-hole duality, integrability, and Russian doll BCS model ⋮ Generalized Heine–Stieltjes and Van Vleck polynomials associated with two-level, integrable BCS models ⋮ Exact solution for the inhomogeneous Dicke model in the canonical ensemble: thermodynamical limit and finite-size corrections ⋮ Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems ⋮ Quasi-classical descendants of disordered vertex models with boundaries

Cites Work

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• The BCS model and the off-shell Bethe ansatz for vertex models
• On a new method in the theory of superconductivity
• A restricted class of exact eigenstates of the pairing-force Hamiltonian
• Off-shell Bethe ansatz equations and N-point correlators in the SU(2) WZNW theory
• Theory of Superconductivity
• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Integrable models for confined fermions: applications to metallic grains
• Chern-Simons theory and BCS superconductivity

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