CASOS DE LOCALIZACION DINÁMICA EXACTA BAJO LA APROXIMACIÓN SEMICLÁSICA

Abstract

In this work we apply results from the semiclassical method and time-average techniques to a one-dimensional lattice described by a tight-binding Hamiltonian with long-range interactions to all neighbors. The charged particle moves in the lattice in the presence of an external homogeneous and rapidly oscillating electric field. Such a semiclassical application corresponds to the Dignam and de Sterke theorem referred to as the phenomenon of “exact dynamic localization” (EDL). This theorem has been deduced within the quantum formalism by the authors. To illustrate the validity of EDL, several external electric fields were chosen in this work. The results indicate that the semiclassical and the quantum formalism are equivalent and yield the same conditions for EDL.