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 …

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 …

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 …

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 …

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 …

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 Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass

EI Jafarov, AM Jafarova, SM Nagiyev - International Journal of …, 2022 - World Scientific
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 …

The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass

SM Nagiyev, AM Jafarova, EI Jafarov - Journal of Mathematical Physics, 2024 - pubs.aip.org
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 …

Excitation and depression of coherent state of the simple harmonic oscillator

A Dehghani, B Mojaveri, AA Alenabi - Journal of Mathematical Physics, 2019 - pubs.aip.org
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 …

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 …