The energy level structure of a variety of one-dimensional confining potentials and the effects of a local singular perturbation

ML Glasser, LM Nieto - Canadian Journal of Physics, 2015 - cdnsciencepub.com
Motivated by current interest in quantum confinement potentials, especially with respect to
the Stark spectroscopy of new types of quantum wells, we examine several novel one …

On the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems

R Vrabel - Systems & control letters, 2012 - Elsevier
A new systematic approach to the construction of approximate solutions to a class of
nonlinear singularly perturbed feedback control systems using the boundary layer functions …

Approximate Analytical Solution of Nonlinear Third-Order Singularly Perturbed BVPs Using Homotopy Analysis Method-Padé Method

E El-Zahar, S El-Kabeir - Journal of Computational and …, 2016 - ingentaconnect.com
In this paper we propose a reliable algorithm to develop approximate analytical solutions of
a class of nonlinear third order singularly perturbed boundary-value problems exhibiting …

Aspects of the Modeling of Low Dimensional Quantum Systems

NJM Horing - Low-Dimensional and Nanostructured Materials and …, 2016 - Springer
The mathematical modeling of low dimensional quantum systems is discussed in this
chapter. In particular, the use of generalized functions in such modeling is illustrated in some …

Quantum Particle Dynamics in a Highly Singular 1D-Potential Superposed on a Well-Behaved One

NJM Horing - arXiv preprint arXiv:1411.6703, 2014 - arxiv.org
We examine the one-dimensional quantum dynamics of a Schroedinger particle in a
potential represented by a generalized function of the form $ U (x)=-\alpha\delta (x)+\beta d …