Differential equations for multipoint correlation functions in a one-dimensional impenetrable Bose-gas

DOI10.1007/BF02070770zbMath0890.58026MaRDI QIDQ1379229

Nikita A. Slavnov

Publication date: 1 March 1998

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

zbMATH Keywords

Fredholm determinantcorrelation functionBose gas

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Quantum equilibrium statistical mechanics (general) (82B10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (6)

Exact methods in the analysis of the non-equilibrium dynamics of integrable models: application to the study of correlation functions for non-equilibrium 1D Bose gas ⋮ Large-distance asymptotic behaviour of multi-point correlation functions in massless quantum models ⋮ On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin 1/2 chain ⋮ Oriented associativity equations and symmetry consistent conjugate curvilinear coordinate nets ⋮ Fredholm determinants and \(\tau\)-functions ⋮ Dynamical Correlation Functions for an Impenetrable Bose Gas with Neumann or Dirichlet Boundary Conditions

Cites Work

• Temperature correlators of the impenetrable Bose gas as an integrable system
• The time dependent correlation function of an impenetrable Bose gas as a Fredholm minor. I
• Long-distance asymptotics of temperature correlators of the impenetrable Bose gas
• Unnamed Item

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