Single-particle Green function in the Calogero-Sutherland model for rational couplings \(\beta=p/q\)

DOI10.1016/0550-3213(96)00071-5zbMath1002.82512arXivhep-th/9508115OpenAlexW1990999126MaRDI QIDQ1911371

Yanyan Li

Publication date: 24 April 1996

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9508115

zbMATH Keywords

intermediate statesFermi seaJack polynomial techniques

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Many-body theory; quantum Hall effect (81V70) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (5)

Brownian-motion ensembles of random matrix theory: a classification scheme and an integral transform method ⋮ Conformal blocks in Virasoro and W theories: Duality and the Calogero-Sutherland model ⋮ Duality in random matrix ensembles for all \(\beta \) ⋮ Coulomb system equivalent to the energy spectrum of the Calogero-Sutherland-Moser (CSM) model ⋮ Proof of Serban’s conjecture

Cites Work

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• Dynamical correlation functions in the Calogero-Sutherland model
• Fractional statistics in one dimension: View from an exactly solvable model
• Some combinatorial properties of Jack symmetric functions
• Exact results for quantum chaotic systems and one-dimensional fermions from matrix models.
• Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials
• Exact calculation of the ground-state single-particle Green’s function for the 1/r2 quantum many-body system at integer coupling

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