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arXiv · 1611.01574

Averaging of nonlinear Schr\"odinger equations with strong magnetic confinement

Rupert L. Frank·Florian Méhats·Christof Sparber
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Abstract

We consider the dynamics of nonlinear Schr\"odinger equations with strong constant magnetic fields. In an asymptotic scaling limit the system exhibits a purely magnetic confinement, based on the spectral properties of the Landau Hamiltonian. Using an averaging technique we derive an associated effective description via an averaged model of nonlinear Schr\"odinger type. In a special case this also yields a derivation of the LLL equation.

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Rupert L. Frank, Florian Méhats, Christof Sparber. 2016-11-05. Averaging of nonlinear Schr\"odinger equations with strong magnetic confinement. https://arxiv.org/abs/1611.01574

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