We give a pedagogical introduction to time-independent scattering theory in one dimension
focusing on the basic properties and recent applications of transfer matrices. In particular …

One of the Top Selling Physics Books according to YBP Library ServicesOrder can be found
in all the structures unfolding around us at different scales, including in the arrangements of …

New formulas for an exact and simple evaluation of the phase time associated with the
passage of electrons or photons through a finite superlattice are derived. This time, named …

Historically, the physics, energy spectrum, and wave functions of superlattices have had
different levels of understanding. Unlike the standard approaches, based on theorems for …

Homogeneous semiconductors exhibit spin-band splitting and displacements under
spatially periodic external magnetic fields, which are more clearly defined than in diluted …

A comprehensive presentation of an approach to finite periodic systems is given. The
general expressions obtained here allow simple and precise calculations of various physical …

The formation of a superlattice in graphene can serve as a way to modify its electronic band
structure and thus to engineer its electronic transport properties. Recent experiments have …

It is demonstrated that standard concepts for optics like Fabry–Pérot resonances and
antireflection coatings can be extended to ballistic electron transport in semiconductor …

In one dimension, one can dissect a scattering potential v (x) into pieces vi (x) and use the
notion of the transfer matrix to determine the scattering content of v (x) from that of vi (x). This …

In this paper we study the scattering and transfer matrices for electric fields defined with
respect to an angular spectrum of plane waves. For these matrices, we derive the constraints …