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 …

We study the classical and quantum oscillator in the context of a non-additive (deformed)
displacement operator associated with a position-dependent effective mass by means of the …

We study the problem of a position-dependent effective mass quantum system by means of
the κ-formalism, focusing on the information entropies for the Mathews-Lakshmanan …

Noncommutativity of position and momentum makes it difficult to formulate the unambiguous
structure of the kinetic part of Hamiltonian for the position-dependent effective mass (PDEM) …

We construct arbitrary-order Darboux transformations for Schrödinger equations with energy-
dependent potential and position-dependent mass within the Dunkl formalism. Our …

In quantum chemical calculations, there are two facts of particular relevance: the position-
dependent mass Schrödinger equation (PDMSE) and the exponential-type potentials used …

We use a symmetrized Hamiltonian containing Dunkl operators to generate a Dunkl–
Schrödinger equation with position-dependent mass. Our equation is shown to admit …

The interest in physical systems with position-dependent mass (PDM) is always topical. In
this work we present a new way to construct kinetic energy operators (KEO's) for particles …