The quantum dynamics of particles with mass dependent on the position is a problem of
interest since the effective-mass approach to charge carriers in conductors and …

We study a non-relativistic particle subject to a three-dimensional spherical potential
consisting of a finite well and a radial\(\delta-\delta'\) contact interaction at the well edge. This …

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 …

In this work we study theoretically the electronic properties of a sheet of graphene grown on
a periodic heterostructure substrate. We write an effective Dirac equation, which includes a …

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 …

We extend previous works on the study of a particle subject to a three-dimensional spherical
singular potential including a\(\delta\)–\(\delta'\) contact interaction. In this case, to have a …

Physical self-adjoint extensions and their spectra of the simplest one-dimensional
Hamiltonian operator in which the mass is constant except for a finite jump at one point of …

This paper discusses some one dimensional quantum models with singular perturbations.
Eventually, a mass discontinuity is added at the points that support the singular …

We study the truncated parabolic function and demonstrate that it is a representation of the
Dirac δ function. We also show that the truncated parabolic function, used as a potential in …

This thesis presents an analysis of the Casimir-Lifshitz effect for configurations of two
objects, being one of them contained within the other. The first of the two parts of this work is …