An infinite sequence of conserved quantities for the cubic Gross–Pitaevskii hierarchy on R
Name
S0002-9947-2018-07726-1.pdf
Description
Published version
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351.76 KB
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Adobe PDF
Checksum (MD5)
ee5153bfa4bc048741c94b8dddcf5968
Author(s)
Staffilani, Gigliola
Date Issued
April 2019
Journal
Transactions of the American Mathematical Society
Publisher
American Mathematical Society (AMS)
Citation
Mendelson, Dana et al. “An infinite sequence of conserved quantities for the cubic Gross–Pitaevskii hierarchy on R.” Transactions of the American Mathematical Society, vol. 371, no. 7, 2019, pp. 5179–5202 © 2019 The Author(s)
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1090/TRAN/7726
