42 citations · 311 across the 26 of their papers we have counts for
27 papers
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…
The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass
E. I. Jafarov, A. M. Jafarova, S. M. Nagiyev
The phase space representation for a semiconfined harmonic oscillator model with a position-dependent effective mass is constructed. We have found the Husimi distribution function…
On the exactly-solvable semi-infinite quantum well of the non-rectangular step-harmonic profile
E. I. Jafarov, S. M. Nagiyev
An exactly-solvable model of the non-relativistic harmonic oscillator with a position-dependent effective mass is constructed. The model behaves itself as a semi-infinite quantum w…