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Article Dans Une Revue Communications in Mathematical Sciences Année : 2017

Averaging of nonlinear Schrödinger equations with strong magnetic confinement

Résumé

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.

Dates et versions

hal-01397325 , version 1 (15-11-2016)

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Rupert L. Frank, Florian Méhats, Christof Sparber. Averaging of nonlinear Schrödinger equations with strong magnetic confinement. Communications in Mathematical Sciences, 2017, 15 (7), pp.1933-1945. ⟨10.4310/CMS.2017.v15.n7.a7⟩. ⟨hal-01397325⟩
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