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 …
al., J. Math. Phys. 62, 092101 (2021)] in the classical and quantum formalisms by …
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 …
Quantum Heat Engine with Level Degeneracy for Oscillator-shaped Potential Well
In this paper, we consider positive oscillator-shaped well potential and set a Szilard-like
quantum heat engine based on energy level degeneracy. By using position-dependent …
quantum heat engine based on energy level degeneracy. By using position-dependent …
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 …
Angular part of the Schrödinger equation for the Hautot potential as a harmonic oscillator with a coordinate-dependent mass in a uniform gravitational field
EI Jafarov, SM Nagiyev - Theoretical and Mathematical Physics, 2021 - Springer
We construct an exactly solvable model of a linear harmonic oscillator with a coordinate-
dependent mass in a uniform gravitational field. This model is placed in an infinitely deep …
dependent mass in a uniform gravitational field. This model is placed in an infinitely deep …
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 …
The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass
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 …
quantum harmonic oscillator model that exhibits the semiconfinement effect through its mass …