Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement …
We present an exact solution of a confined model of the non-relativistic quantum harmonic
oscillator, where the effective mass and the angular frequency are dependent on the …
oscillator, where the effective mass and the angular frequency are dependent on the …
Exact quantum-mechanical solution for the one-dimensional harmonic oscillator model asymmetrically confined into the infinite well
EI Jafarov - Physica E: Low-dimensional Systems and …, 2022 - Elsevier
We constructed a new model of the non-relativistic quantum harmonic oscillator within the
canonical approach. It is asymmetrically confined into the infinitely high potential well …
canonical approach. It is asymmetrically confined into the infinitely high potential well …
Exact solution of the position-dependent mass Schr\" odinger equation with the completely positive oscillator-shaped quantum well potential
EI Jafarov, SM Nagiyev - arXiv preprint arXiv:2212.13062, 2022 - arxiv.org
Two exactly-solvable confined models of the completely positive oscillator-shaped quantum
well are proposed. Exact solutions of the position-dependent mass Schr\" odinger equation …
well are proposed. Exact solutions of the position-dependent mass Schr\" odinger equation …
Generalized Fourier Transforms Arising from the Enveloping Algebras of 𝔰𝔩 (2) and 𝔬𝔰𝔭 (1∣ 2)
The Howe dual pair allows the characterization of the classical Fourier transform (FT) on the
space of rapidly decreasing functions as the exponential of a well-chosen element of such …
space of rapidly decreasing functions as the exponential of a well-chosen element of such …
Effective mass of the discrete values as a hidden feature of the one-dimensional harmonic oscillator model: Exact solution of the Schrödinger equation with a mass …
EI Jafarov, SM Nagiyev - Modern Physics Letters A, 2021 - World Scientific
In this paper, exactly solvable model of the quantum harmonic oscillator is proposed. Wave
functions of the stationary states and energy spectrum of the model are obtained through the …
functions of the stationary states and energy spectrum of the model are obtained through the …
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 …
The oscillator model for the Lie superalgebra sh(2|2) and Charlier polynomials
EI Jafarov, J Van der Jeugt - Journal of Mathematical Physics, 2013 - pubs.aip.org
sh (2| 2), known as the Heisenberg–Weyl superalgebra or “the algebra of supersymmetric
quantum mechanics,” and its Fock representation. The model offers some freedom in the …
quantum mechanics,” and its Fock representation. The model offers some freedom in the …
A Wigner distribution function for finite oscillator systems
J Van der Jeugt - Journal of Physics A: Mathematical and …, 2013 - iopscience.iop.org
We define a Wigner distribution function for a one-dimensional finite quantum system, in
which the position and momentum operators have a finite (multiplicity-free) spectrum. The …
which the position and momentum operators have a finite (multiplicity-free) spectrum. The …
Discrete series representations for, Meixner polynomials and oscillator models
EI Jafarov, J Van der Jeugt - Journal of Physics A: Mathematical …, 2012 - iopscience.iop.org
We explore a model for a one-dimensional quantum oscillator based on the Lie
superalgebra $\mathfrak {sl}(2| 1) $. For this purpose, a class of discrete series …
superalgebra $\mathfrak {sl}(2| 1) $. For this purpose, a class of discrete series …
A superintegrable finite oscillator in two dimensions with SU (2) symmetry
A superintegrable finite model of the quantum isotropic oscillator in two dimensions is
introduced. It is defined on a uniform lattice of triangular shape. The constants of the motion …
introduced. It is defined on a uniform lattice of triangular shape. The constants of the motion …