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

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...

Full description

Bibliographic Details
Main Author: Staffilani, Gigliola (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: American Mathematical Society (AMS), 2020-08-19T11:18:55Z.
Subjects:
Article
Online Access:Get fulltext
Description
Summary: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 sequence of operators which generate infinitely many conserved quantities for solutions of the GP hierarchy.
National Science Foundation (U.S.) (Grant DMS-1362509)
National Science Foundation (U.S.) (Grant DMS-1462401)

Similar Items