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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …