We analyze the one dimensional scattering produced by all variations of the Pöschl–Teller
potential, ie, potential well, low and high barriers. The transmission coefficients of Pöschl …

We consider the one-dimensional Hamiltonian with a V-shaped potential H 0= 1 2− d 2 dx
2+| x|, decorated with a point impurity of either δ-type, or local δ′-type or even nonlocal δ …

In this contribution to the study of one-dimensional point potentials, we prove that if we take
the limit $ q\to 0$ on a potential of the type ${v} _ {0}\delta (y)+ 2 {v} _ {1}{\delta}^{\prime}(y)+ …

The spherically symmetric potential a δ (r− r 0)+ b δ′(r− r 0) is generalised for the d-
dimensional space as a characterisation of a unique selfadjoint extension of the free …

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 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 study the scattering produced by a one dimensional hyperbolic step potential, which is
exactly solvable and shows an unusual interest because of its asymmetric character. The …

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 …

The objective of the present paper is the study of a one-dimensional Hamiltonian with the
interaction term given by the sum of two nonlocal attractive\(\delta'\)-interactions of equal …

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 …