Derivation of the two-dimensional nonlinear Schrodinger equation from many body quantum dynamics
We derive rigorously, for both ${\Bbb R}^2$ and $[{-}L,L]^{\times 2}$, the cubic nonlinear Schr\"odinger 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 hie...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Johns Hopkins University Press
2012
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| Online Access: | http://hdl.handle.net/1721.1/71825 https://orcid.org/0000-0002-8220-4466 |