Integral equations for correlation functions of a quantum one-dimensional Bose gas

DOI10.1007/BF02557233zbMath1005.82503arXivsolv-int/9812028MaRDI QIDQ5930848

Nikita A. Slavnov

Publication date: 3 March 2003

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9812028

zbMATH Keywords

integral equationsasymptotic expressionsFredholm determinantlarge-time, long-distance behaviorquantum one-dimensional Bose gastemperature correlation functionsthermodynamic Bethe ansatz

Mathematics Subject Classification ID

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

Related Items (5)

Asymptotic expansions for correlation functions of one-dimensional bosons ⋮ Form factor approach to dynamical correlation functions in critical models ⋮ Large-distance and long-time asymptotic behavior of the reduced density matrix in the non-linear Schrödinger model ⋮ On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin 1/2 chain ⋮ Riemann-Hilbert approach to a generalized sine kernel

Cites Work

• Unnamed Item
• Dual field formulation of quantum integrable models
• Infinite conformal symmetry in two-dimensional quantum field theory
• Large time and distance asymptotics of field correlation function of impenetrable bosons at finite temperature
• Determinant representation for dynamical correlation functions of the quantum nonlinear Schrödinger equation
• Completely integrable equation for the quantum correlation function of nonlinear Schrödinger equation
• On the Riemann-Hilbert approach to asymptotic analysis of the correlation functions of the quantum nonlinear Schrödinger equation: Interacting fermion case
• A nonlinear identity for the scattering phase of integrable models
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• The Riemann - Hilbert problem associated with the quantum nonlinear Schrödinger equation
• Normal ordering in the theory of correlation functions of exactly solvable models
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State

This page was built for publication: Integral equations for correlation functions of a quantum one-dimensional Bose gas