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 …
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 …
[HTML][HTML] Analytical study of the sth-order perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed by a spatially power-law potential …
In this work, we present a rigorous mathematical scheme for the derivation of the sth-order
perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed …
perturbative corrections to the solution to a one-dimensional harmonic oscillator perturbed …
[PDF][PDF] Explicit solution of the position-dependent mass Schr¨ odinger equation with Gora-Williams kinetic energy operator: confined harmonic oscillator model
EI Jafarov, SM Nagiyev, AM Seyidova - Bull. Ser. A, 2020 - scientificbulletin.upb.ro
Exactly-solvable confined model of the non-relativistic quantum harmonic oscillator is
proposed. Free Hamiltonian of the system under study has a form of the Gora-Williams …
proposed. Free Hamiltonian of the system under study has a form of the Gora-Williams …
A superintegrable discrete oscillator and two-variable Meixner polynomials
A superintegrable, discrete model of the quantum isotropic oscillator in two-dimensions is
introduced. The system is defined on the regular, infinite-dimensional ${\mathbb {N}}\times …
introduced. The system is defined on the regular, infinite-dimensional ${\mathbb {N}}\times …
Quantum deformations and q-boson operators
PD Jarvis, MA Lohe - Journal of Physics A: Mathematical and …, 2016 - iopscience.iop.org
This Viewpoint relates to articles by LC Biedenharn (1989 J. Phys. A: Math. Gen. 22 L873)
and AJ Macfarlane (1989 J. Phys. A: Math. Gen. 22 4581) and was published as part of a …
and AJ Macfarlane (1989 J. Phys. A: Math. Gen. 22 4581) and was published as part of a …
FINITE OSCILLATOR MODELS DESCRIBED BY THE LIE SUPERALGEBRA
J Van der Jeugt - Symmetries and Groups in Contemporary Physics, 2013 - World Scientific
We investigate new models for a finite quantum oscillator based upon the Lie superalgebra,
where the position and momentum operators are represented as odd elements of the …
where the position and momentum operators are represented as odd elements of the …