In the present paper we examine in a systematic way the most relevant orderings of pure
kinetic Hamiltonians for five different position-dependent mass (PDM) profiles: Soliton-like …

We present the quantum and classical mechanics formalisms for a particle with a position-
dependent mass in the context of a deformed algebraic structure (named κ-algebra) …

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 …

In this paper, we investigate theoretically the effects of a spatially varying effective mass
distribution on the electronic and optical properties of octic anharmonic oscillators …

We explore the dynamics of a damped and driven Mathews–Lakshmanan oscillator type
model with position-dependent mass term and report two distinct bifurcation routes to the …

In this contribution, the generalized KG oscillator is introduced in the cosmic string space-
time. The radial equations and angular equations have been obtained and solved for two …

Liénard-type nonlinear oscillators with linear and nonlinear damping terms exhibit diverse
dynamical behavior in both the classical and quantum regimes. In this paper, we consider …

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 …

The quantum mechanical formalism for systems featuring energy-dependent potentials is
extended to systems governed by generalized Schrödinger equations that include the …

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 …