Semiclassical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
arXiv:0903.5435
Abstract
The semi-classical regime of standing wave solutions of a Schrödinger 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.
34 pages