We present a detailed study of a generalised one-dimensional Kronig–Penney model using
δ-δ'δ-δ′ potentials. We analyse the band structure and the density of states in two …

We report on the electronic structure, density of states and transmission properties of the
periodic one-dimensional tight-binding (TB) lattice with a single orbital per site and nearest …

We describe how to engineer wave-function delocalization in disordered systems modeled
by tight-binding Hamiltonians in d> 1 dimensions. We show analytically that a simple …

Numerical transfer matrices have been widely used in the study of wave propagation and
scattering. These may be viewed as discretizations of a recently introduced fundamental …

The spectrum of bound and scattering states of the one dimensional Dirac Hamiltonian
describing fermions distorted by a static background built from two Dirac delta potentials is …

A complete band structure is shown to exist for one-dimensional periodic non-Hermitian
potentials exhibiting PT-symmetry. The full band spectrum is exactly given and some of its …

The one-loop quantum corrections to the internal energy of some lattices due to the quantum
fluctuations of the scalar field of phonons are studied. The band spectrum of the lattice is …

In two dimensions, the standard treatment of the scattering problem for a delta-function
potential, $ v (\mathbf {r})=\mathfrak {z}\delta (\mathbf {r}) $, leads to a logarithmic singularity …

The transfer matrix formalism is implemented in the form of the multiple collision technique to
account for dissipative transmission processes by using complex potentials in several …

Numerical transfer matrices have been widely used in the study of wave propagation and
scattering. These may be viewed as descretizations of a recently introduced fundamental …