Exact solution of the semiconfined harmonic oscillator model with a position-dependent effective mass
EI Jafarov, J Van der Jeugt - The European Physical Journal Plus, 2021 - Springer
We present a new model of a one-dimensional nonrelativistic canonical quantum harmonic
oscillator which is semiconfined. Semiconfinement is achieved by replacing the constant …
oscillator which is semiconfined. Semiconfinement is achieved by replacing the constant …
Propagation of multi-cosine-Laguerre-Gaussian correlated Schell-model beams in free space and atmospheric turbulence
J Zhu, X Li, H Tang, K Zhu - Optics express, 2017 - opg.optica.org
We introduce a class of random stationary, scalar source named as multi-cosine-Laguerre-
Gaussian-correlated Schell-model (McLGCSM) source whose spectral degree of coherence …
Gaussian-correlated Schell-model (McLGCSM) source whose spectral degree of coherence …
Exact solution of the semiconfined harmonic oscillator model with a position-dependent effective mass in an external homogeneous field
EI Jafarov, J Van der Jeugt - Pramana, 2022 - Springer
We extend exactly solvable model of a one-dimensional non-relativistic canonical
semiconfined quantum harmonic oscillator with a mass that varies with position to the case …
semiconfined quantum harmonic oscillator with a mass that varies with position to the case …
Finite oscillator models: the Hahn oscillator
EI Jafarov, NI Stoilova… - Journal of Physics A …, 2011 - iopscience.iop.org
A new model for the finite one-dimensional harmonic oscillator is proposed based upon the
algebra. This algebra is a deformation of the Lie algebra extended by a parity operator, with …
algebra. This algebra is a deformation of the Lie algebra extended by a parity operator, with …
The Hahn oscillator and a discrete Fourier–Hahn transform
EI Jafarov, NI Stoilova… - Journal of Physics A …, 2011 - iopscience.iop.org
We define the quadratic algebra $\mathfrak {su}(2) _\alpha $ which is a one-parameter
deformation of the Lie algebra $\mathfrak {su}(2) $ extended by a parity operator. The odd …
deformation of the Lie algebra $\mathfrak {su}(2) $ extended by a parity operator. The odd …
A finite oscillator model related to
EI Jafarov, J Van der Jeugt - Journal of Physics A: Mathematical …, 2012 - iopscience.iop.org
We investigate a new model for the finite one-dimensional quantum oscillator based upon
the Lie superalgebra $\mathfrak {sl}(2| 1) $. In this setting, it is natural to present the position …
the Lie superalgebra $\mathfrak {sl}(2| 1) $. In this setting, it is natural to present the position …
The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass
In this paper, the phase space representation for a semiconfined harmonic oscillator model
with a position-dependent effective mass is constructed. We have found the Husimi …
with a position-dependent effective mass is constructed. We have found the Husimi …
The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass
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 …
quantum harmonic oscillator model that exhibits the semiconfinement effect through its mass …
Excitation and depression of coherent state of the simple harmonic oscillator
Othman and Yevick [Int. J. Theor. Phys. 57, 2293 (2018)] introduced a new class of states
defined as “near” coherent states attached to the simple harmonic oscillator. Such states can …
defined as “near” coherent states attached to the simple harmonic oscillator. Such states can …
Dynamical symmetry of a semiconfined harmonic oscillator model with a position-dependent effective mass
EI Jafarov, SM Nagiyev - Reports on Mathematical Physics, 2023 - Elsevier
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 …
dependent effective mass is constructed. Selecting the starting point as a well-known …