00988nas a2200133   4500008004100000022001400041245012300055210007000178300001600248490000800264520048400272100002700756856007100783       2008                        eng d  a0022-039600aAsymptotic evolution for the semiclassical nonlinear Schrödinger equation in presence of electric and magnetic fields0 aAsymptotic evolution for the semiclassical nonlinear Schrödinger  a2566 - 25840 v2453 a<p>In this paper we study the semiclassical limit for the solutions of a subcritical focusing NLS with electric and magnetic potentials. We consider in particular the Cauchy problem for initial data close to solitons and show that, when the Planck constant goes to zero, the motion shadows that of a classical particle. Several works were devoted to the case of standing waves: differently from these we show that, in the dynamic version, the Lorentz force appears crucially.</p>1 aSelvitella, Alessandro  uhttp://www.sciencedirect.com/science/article/pii/S002203960800243X