Silvia Cingolani, Simone Secchi, Marco Squassina
Published 2009-03-31, updated 2009-11-13Version 5
The semi-classical regime of standing wave solutions of a Schr\"odinger equation in presence of non-constant electric and magnetic potentials is studied in the case of non-local nonlinearities of Hartree type. It is show that there exists a family of solutions having multiple concentration regions which are located around the minimum points of the electric potential.
On the behavior at collisions of solutions to Schrödinger equations with many-particle and cylindrical potentials
On unique continuation of solutions of Schrödinger equations
Stable determination of coefficients in the dynamical Schrödinger equation in a magnetic field
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