Exact solution and coherent states of an asymmetric oscillator with position-dependent mass

BG da Costa, IS Gomez, B Rath - Journal of Mathematical Physics, 2023 - pubs.aip.org
We revisit the problem of the deformed oscillator with position-dependent mass [da Costa et
al., J. Math. Phys. 62, 092101 (2021)] in the classical and quantum formalisms by …

The intra/valence-band linear and third-order nonlinear optical properties of a laser-dressed double GaAsSb/GaAs parabolic quantum well: the effect of the geometry …

S Haghighi, A Haghighatzadeh… - The European Physical …, 2023 - Springer
In this research, a laser-dressed double GaAsSb/GaAs parabolic quantum well was
modeled to explore the intra/valence-band transition-dependent optoelectronic features …

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 …

Exactly solvable model of the linear harmonic oscillator with a position-dependent mass under external homogeneous gravitational field

S Nagiyev, C Aydin, AI Ahmadov, SA Amirova - The European Physical …, 2022 - Springer
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 …

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 …

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 …

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 …

On the exactly-solvable semi-infinite quantum well of the non-rectangular step-harmonic profile

EI Jafarov, SM Nagiyev - Quantum Studies: Mathematics and Foundations, 2022 - Springer
An exactly-solvable model of the non-relativistic harmonic oscillator with a position-
dependent effective mass is constructed. The model behaves itself as a semi-infinite …

Features of the bound state formation near a nonlinear defect in the presence of a homogeneous external field

SE Savotchenko - The European Physical Journal Plus, 2022 - epjplus.epj.org
We find the exact solution to the non-relativistic time-independent Schrödinger equation with
the homogeneous external field and the nonlinear δ-functional potential describing the point …

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 …