A zero-thickness limit for two-terminal and three-terminal devices from the quantum
electronics domain is analysed. The study is focused on heterostructures composed of a …

In the search for solvable or quasi-solvable models for resonances, we consider a one-
dimensional potential, which is a harmonic oscillator for x< 0, has a point potential at the …

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 …

A zero-thickness limit of three-layer heterostructures under two bias voltages applied
externally, where one of which is supposed to be a gate parameter, is studied. As a result …

In this paper, we propose a pedagogical presentation of the Lippmann–Schwinger equation
as a powerful tool, so as to obtain important scattering information. In particular, we consider …

Two rectangular models described by the one-dimensional Schrödinger equation with
sharply localized potentials are suggested. The potentials have a multilayer thin structure …

We study the resonances produced in a one dimensional quantum system with an infinite
potential on the negative real line plus two Dirac delta barriers centered at the points a, b> 0 …

We make a detailed study of the first and second-order SUSY partners of a one-dimensional
free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is …

In this work, aiming to solve numerically the Schrödinger equation with a Dirac delta function
potential, we use the Numerov method to solve the time independent 1D-Schrödinger …

We introduced some contact potentials that can be written as a linear combination of the
Dirac delta and its first derivative, the δ-δ′ interaction. After a simple general presentation …