Poisson commuting energies for a system of infinitely many bosons

DOI10.1016/j.aim.2022.108525zbMath1504.35493arXiv1910.06959OpenAlexW4288092363MaRDI QIDQ2161295

Dana Mendelson, Gigliola Staffilani, Nataša Pavlović, Matthew Rosenzweig, Andrea R. Nahmod

Publication date: 4 August 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06959

zbMATH Keywords

inverse scattering transformintegrabilityconserved quantitiesGross-Pitaevskii hierarchy1D cubic NLSLieb-Liniger

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70) Poisson manifolds; Poisson groupoids and algebroids (53D17) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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