18 citations · 34 across the 12 of their papers we have counts for
12 papers
Heun-type solutions for the Dirac particle on the curved background of Minkowski space-times
Saman Rahmani, Hossein Panahi, Amerne Najafizade
In the present paper, we study the Dirac equation in the background of Minkowski space-time on a light cone. With the help of the coupling of the radial parts, the system of 4 equa…
The Dunkl oscillator on a space of nonconstant curvature: an exactly solvable quantum model with reflections
Angel Ballesteros, Amene Najafizade, Hossein Panahi +2
We introduce the Dunkl-Darboux III oscillator Hamiltonian in N dimensions, defined as a deformation of the N-dimensional Dunkl oscillator. This deformation can be interpreted e…
Superintegrability on the Dunkl oscillator model in three-Dimensional spaces of constant curvature
Shi-Hai Dong, Amene Najafizade, Hossein Panahi +2
This paper has studied the three-dimensional Dunkl oscillator models in a generalization of superintegrable Euclidean Hamiltonian systems to curved ones. These models are defined b…
Initial Value Problem for a Caputo Space-time Fractional Schrodinger Equation for the Delta Potential
Sepideh Saberhaghparvar, Hossein Panahi
In this paper, we investigate the initial value problem for a Caputo space-time fractional Schrodinger equation for the delta potential. To solve this equation, we use the joint La…
Exact solutions of a class of double-well potentials: Algebraic Bethe ansatz
Marzieh Baradaran, Hossein Panahi
In this paper, applying the Bethe ansatz method, we investigate the Schrödinger equation for the three quasi-exactly solvable double-well potentials, namely the generalized Manning…
Integrable and superintegrable systems with higher order integrals of motion: master function formalism
Z. Alizadeh, H. Panahi
In this article, we construct two-dimensional integrable and superintegrable sys- tems in terms of the master function formalism and relate them to Mielnik;s and Marquette;s constr…