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 …

A particle in a box with the δ-function potential V λ (x)= λ δ (x− x 0) has been recently
explored. We show that this example is solvable in the weak (λ→ 0±) and the strong (1∕ λ→ …

We study a one-dimensional singular potential plus two types of regular interactions:
constant electric field and harmonic oscillator. In order to search for the bound state …

We study a three-dimensional nonrelativistic quantum system with a delta-type potential.
The support of this potential is determined by a circle and straight line in R^ 3. We show that …

For a two-parameter class of local potentials which support a bound state with energy E 1
embedded in the continuous spectrum, we determine the conditions that the potential has m …

For complex potentials V (x)=−(ix) 3− β 2 (ix)− 2− 2βδ (ix) 1/2 which are Script P Script T
symmetric, we show that in β≫ 1 strong coupling regime the low-lying bound states almost …

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 …

In the present paper, first the mathematical basic properties of the exceptional points are
discussed. Then, their role in the description of real physical quantum systems is …

We consider a family of Hamiltonians describing a quantum particle interacting, via zero-
range forces, with a localized spin in the plane. A sub-class of Hamiltonians shows …

We consider attractive power-law potentials depending on energy through their coupling
constant. These potentials are proportional to 1/| x| m with m≥ 1 in the D= 1 dimensional …