An infinite sequence of conserved quantities for the cubic Gross–Pitaevskii hierarchy on R

We consider the cubic Gross-Pitaevskii (GP) hierarchy on ℝ, which is an infinite hierarchy of coupled linear inhomogeneous partial differential equations appearing in the derivation of the cubic nonlinear Schrödinger equation from quantum many-particle systems. In this work, we identify an infinite...

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Bibliographic Details
Main Author: Staffilani, Gigliola
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: American Mathematical Society (AMS) 2020
Online Access:https://hdl.handle.net/1721.1/126670