29 citations · 142 across the 19 of their papers we have counts for
20 papers
Relativistic bound-state solutions for a non-central Schi{ö}berg-type hyperbolic potential with double ring-shaped angular terms
Shakir. M. Nagiyev, Vatan H. Badalov
Singular interactions can reshape quantum spectra by changing admissible wavefunction domains. In this study, we investigate this mechanism in the Klein--Gordon equation for a non-…
Bound State Solutions of the Relativistic Finite-difference Equation for the Ring-shaped Quesne Oscillator Potential
Sh. M. Nagiyev, Narmin Nasibova, V. A. Tarverdiyeva +1
We solve exactly the relativistic finite-difference equation for the quantum three-dimensional ring-shaped Quesne oscillator potential. Our investigation is based on a finite-diffe…
Deformation of the Heisenberg-Weyl algebra and the Lie superalgebra : exact solution for the quantum harmonic oscillator with a position-dependent mass
E. I. Jafarov, S. M. Nagiyev, J. Van der Jeugt
We propose a new deformation of the quantum harmonic oscillator Heisenberg-Weyl algebra with a parameter . This parameter is introduced through the replacement of the homogen…
Dynamical symmetry of a semiconfined harmonic oscillator model with a position-dependent effective mass
E. I. Jafarov, S. M. Nagiyev
Dynamical symmetry algebra for a semiconfined harmonic oscillator model with a position-dependent effective mass is constructed. Selecting the starting point as a well-known factor…
The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass
S. M. Nagiyev, A. M. Jafarova, E. I. Jafarov
We propose a phase-space representation concept in terms of the Wigner function for a quantum harmonic oscillator model that exhibits the semiconfinement effect through its mass va…
Exact solution of the position-dependent mass Schrödinger equation with the completely positive oscillator-shaped quantum well potential
E. I. Jafarov, S. M. Nagiyev
Two exactly-solvable confined models of the completely positive oscillator-shaped quantum well are proposed. Exact solutions of the position-dependent mass Schrödinger equation cor…