A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation

A rigorous derivation of the Hamiltonian structure for the nonlinear Schrödinger equation

© 2020 Elsevier Inc. We consider the cubic nonlinear Schrödinger equation (NLS) in any spatial dimension, which is a well-known example of an infinite-dimensional Hamiltonian system. Inspired by the knowledge that the NLS is an effective equation for a system of interacting bosons as the particle nu...

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Bibliographic Details
Main Authors: Mendelson, Dana, Nahmod, Andrea R, Pavlović, Nataša, Rosenzweig, Matthew, Staffilani, Gigliola
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Elsevier BV 2021
Online Access:https://hdl.handle.net/1721.1/136289

Internet

https://hdl.handle.net/1721.1/136289

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