| dc.contributor.author | Staffilani, Gigliola | |
| dc.date.accessioned | 2020-08-19T11:18:55Z | |
| dc.date.available | 2020-08-19T11:18:55Z | |
| dc.date.issued | 2019-04 | |
| dc.date.submitted | 2018-10 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/126670 | |
| dc.description.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. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1362509) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (Grant DMS-1462401) | en_US |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society (AMS) | en_US |
| dc.relation.isversionof | 10.1090/TRAN/7726 | en_US |
| dc.rights | 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. | en_US |
| dc.source | American Mathematical Society | en_US |
| dc.title | An infinite sequence of conserved quantities for the cubic Gross–Pitaevskii hierarchy on R | en_US |
| dc.type | Article | en_US |
| dc.identifier.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) | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Transactions of the American Mathematical Society | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2019-11-20T19:34:29Z | |
| dspace.date.submission | 2019-11-20T19:34:34Z | |
| mit.journal.volume | 371 | en_US |
| mit.journal.issue | 7 | en_US |
| mit.metadata.status | Complete | |
