Espalhamento em grafos quânticos

Abstract

In this work we discuss scattering in quantum graphs using the Green’s function approach. We show that is possible to study wells and barriers by mapping such systems into quantum graphs. By making an analytic extension of the scattering matrix to the complex plane, we analyze the position of their poles that provides the types of existent states in such systems. The poles of scattering matrix can be obtained by the Green’s function poles. Some scattering systems are built, which are interpreted as quantum devices, allowing the analysis of its transmission in arrangements of these devices in series and parallel.