A study of correlation functions for the delta-function Bose gas

DOI10.1016/0167-2789(86)90029-1zbMath0603.58052OpenAlexW1979897438MaRDI QIDQ1082702

Dennis B. Creamer, Harry B. Thacker, David M. Wilkinson

Publication date: 1986

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90029-1

zbMATH Keywords

two-point functionBose gasGel'fand-Levitan equationnonlocal products of fieldsquantized reflection operatorsquantum nonlinear Schrödinger field theoryzero separation limit

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Quantum field theory; related classical field theories (81T99) Applications of PDEs on manifolds (58J90) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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Cites Work

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• Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
• Correlation functions of the one-dimensional Bose gas in the repulsive case.
• Inverse scattering transform as an operator method in quantum field theory
• Painlevé functions of the third kind