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• W2052350718 abstract "We derive rigorously, for both R 2 and (−L, L) ×2 , the cubic nonlinear Schrodinger equation in a suitable scaling limit from the two-dimensional many-body Bose systems with short-scale repulsive pair interactions. We first prove convergence of the solution of the BBGKY hierarchy, corresponding to the many-body systems, to a solution of the infinite Gross-Pitaevskii hierarchy, corresponding to the cubic NLS; and then we prove uniqueness for the infinite hierarchy, which requires number-theoretical techniques in the periodic case." @default.
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• W2052350718 date "2011-01-01" @default.
• W2052350718 modified "2023-09-28" @default.
• W2052350718 title "Derivation of the two-dimensional nonlinear Schrödinger equation from many body quantum dynamics" @default.
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• W2052350718 doi "https://doi.org/10.1353/ajm.2011.0004" @default.
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