4 papers
Nonlinear Schrödinger Equation with magnetic potential on metric graphs
Nicolò Cangiotti, Ivan Gallo, David Spitzkopf
In this manuscript, we shall investigate the Nonlinear Magnetic Schrödinger Equation on noncompact metric graphs, focusing on the existence of ground states. We prove that the magn…
Local perturbations of potential well arrays
Pavel Exner, David Spitzkopf
We consider an equidistant array of disjoint potential wells in , built over a straight line, and show that, under a restriction on the potential support as…
Ground states for the NLS on non-compact graphs with an attractive potential
Riccardo Adami, Ivan Gallo, David Spitzkopf
We consider the subcritical nonlinear Schrödinger equation on non-compact quantum graphs with an attractive potential supported in the compact core, and investigate the existence a…
Magnetic transport due to a translationally invariant potential obstacle
Pavel Exner, David Spitzkopf
We consider a two-dimensional system in which a charged particle is exposed to a homogeneous magnetic field perpendicular to the plane and a potential that is translationally invar…