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- W3105765174 abstract "In this work, we study the Gross-Pitaevskii hierarchy on general --rational and irrational-- rectangular tori of dimension two and three. This is a system of infinitely many linear partial differential equations which arises in the rigorous derivation of the nonlinear Schr{o}dinger equation. We prove a conditional uniqueness result for the hierarchy. In two dimensions, this result allows us to obtain a rigorous derivation of the defocusing cubic nonlinear Schr{o}dinger equation from the dynamics of many-body quantum systems. On irrational tori, this question was posed as an open problem in previous work of Kirkpatrick, Schlein, and Staffilani." @default.
- W3105765174 created "2020-11-23" @default.
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- W3105765174 date "2015-11-26" @default.
- W3105765174 modified "2023-09-24" @default.
- W3105765174 title "The Gross–Pitaevskii Hierarchy on General Rectangular Tori" @default.
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- W3105765174 doi "https://doi.org/10.1007/s00205-015-0950-2" @default.
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