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AVERAGING OF NONLINEAR SCHRODINGER EQUATIONS ¨ WITH STRONG MAGNETIC CONFINEMENT
(International Press, 2016-11)
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 ...
An efficient time-splitting method for the ehrenfest dynamics
(Society for Industrial and Applied Mathematics, 2017-08-06)
The Ehrenfest dynamics, representing a quantum-classical mean-field type coupling, is a widely used approximation in quantum molecular dynamics. In this paper, we propose a time-splitting method for an Ehrenfest dynamics, ...