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Averaging of nonlinear Schrödinger equations with strong confinement and rotation

Date: Tuesday, December 12, 2017 16:00 - 18:00
Speaker: Christof Sparber (University of Illinois at Chicago)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Robert Seiringer
Lab building west seminar room

We consider a class of nonlinear Schrdinger equations (NLS) subject to strong anisotropic confining forces by, either, electric, or constant magnetic fields. Introducing a small adiabatic parameter, we study the limit as this parameter tends to zero. Using a high-frequency averaging technique we rigorously derive effective lower dimensional NLS type models. In particular we obtain a derivation of the LLL equation ("lowest Landau level equation") as a limiting model.

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