HYDRODYNAMIC SCALES OF INTEGRABLE MANY-BODY SYSTEMS

Research output: Book/ReportBookpeer-review

Abstract

This book provides a broad introduction to integrable systems with many degrees of freedom. Within a much larger orbit, discussed are models such as the classical Toda lattice, Calogero fluid, and Ablowitz-Ladik discretized nonlinear Schrödinger equation. On the quantum mechanical side, featured are the Lieb-Liniger delta-Bose gas and the quantum Toda lattice. As a genuinely novel twist, the study deals with random initial data described by generalized Gibbs ensembles with parameters of slow spatial variation. This is the hydrodynamic scale, in spirit similar to the ballistic Euler scale of nonintegrable simple fluids. While integrable microscopic particle models are very diverse, the central theme of this book is to elucidate their structural similarity on hydrodynamic scales.

Original languageEnglish
PublisherWorld Scientific Publishing Co.
Number of pages242
ISBN (Electronic)9789811283536
ISBN (Print)9789811283529
DOIs
StatePublished - 1 Jan 2024
Externally publishedYes

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