The propagator of the attractive delta-Bose gas in one dimension

DOI10.1063/1.3663431zbMath1273.81085arXiv1109.3404OpenAlexW3106200769MaRDI QIDQ2853595

Herbert Spohn, Sylvain Prolhac

Publication date: 16 October 2013

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

Full work available at URL: https://arxiv.org/abs/1109.3404

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

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Cites Work

• Yang's system of particles and Hecke algebras
• Integral formulas for the asymmetric simple exclusion process
• Norms of bound states
• Exact solution of the master equation for the asymmetric exclusion process
• Orthogonality and completeness of the Bethe Ansatz eigenstates of the nonlinear Schrödinger model
• Replica approach to the KPZ equation with the half Brownian motion initial condition
• Dynamic Scaling of Growing Interfaces
• The dynamics of the one-dimensional delta-function Bose gas
• Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction
• Study of Exactly Soluble One-Dimensional N-Body Problems
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum

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