Generalized semiconfined harmonic oscillator model with a position-dependent effective mass
C Quesne - The European Physical Journal Plus, 2022 - Springer
By using a point canonical transformation starting from the constant-mass Schrödinger
equation for the isotonic potential, it is shown that a semiconfined harmonic oscillator model …
equation for the isotonic potential, it is shown that a semiconfined harmonic oscillator model …
Exactly solvable model of the linear harmonic oscillator with a position-dependent mass under external homogeneous gravitational field
We extended exactly solvable model of a nonrelativistic quantum linear harmonic oscillator
with a position-dependent mass\(M\left (x\right)=\frac {{a}^{2}{m} _ {0}}{{a}^{2}+{x}^{2}}\) to …
with a position-dependent mass\(M\left (x\right)=\frac {{a}^{2}{m} _ {0}}{{a}^{2}+{x}^{2}}\) to …
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 …
On two direct limits relating pseudo-Jacobi polynomials to Hermite polynomials and the pseudo-Jacobi oscillator in a homogeneous gravitational field
SM Nagiyev - Theoretical and Mathematical Physics, 2022 - Springer
We present two new limit relations that reduce the orthogonal pseudo-Jacobi polynomials
directly to the Hermite polynomials with shifted and nonshifted arguments. The proofs of …
directly to the Hermite polynomials with shifted and nonshifted arguments. The proofs of …
Semi-infinite quantum wells in a position-dependent mass background
C Quesne - Quantum Studies: Mathematics and Foundations, 2023 - Springer
Using a point canonical transformation starting from the constant-mass Schrödinger
equation for the Morse potential, it is shown that a semi-infinite quantum well model with a …
equation for the Morse potential, it is shown that a semi-infinite quantum well model with a …
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 …
[PDF][PDF] Azerbaijan Journal of Physics
A PASHAYEV, N MAMEDOV, C QAJAR, T MEHDIYEV - physics.gov.az
Today, due to its non-invasive nature, optical technologies have started to be used more in
the field of diagnosis, treatment and surgery in the medical field. Examples of these are …
the field of diagnosis, treatment and surgery in the medical field. Examples of these are …