Published 2017
| Submitted
Journal Article
Open
Averaging of nonlinear Schrödinger equations with strong magnetic confinement
Abstract
We consider the dynamics of nonlinear Schrödinger 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 Schrödinger type. In a special case this also yields a derivation of the LLL equation.
Additional Information
© 2017 International Press. Paper received on 15 March 2017; Paper accepted on 30 June 2017. R.L.F. has been supported by the U.S. National Science Foundation through grant no. DMS-1363432. F.M. acknowledges support by the ANR project Moonrise ANR-14-CE23-0007-01. C.S. has been supported by the U.S. National Science Foundation through grant no. DMS-1348092.Attached Files
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Additional details
- Eprint ID
- 77070
- Resolver ID
- CaltechAUTHORS:20170428-154120889
- DMS-1363432
- NSF
- ANR-14-CE23-0007-01
- Agence Nationale de la Recherche (ANR)
- DMS-1348092
- NSF
- Created
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2017-04-28Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field