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 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 …

In this work we study an inhomogeneous Fokker–Planck equation (FPE) emerging in the
framework of Kaniadakis statistics. The resultant FPE presents the features:(a) the solution is …

We present the Fokker-Planck equation (FPE) for an inhomogeneous medium with a
position-dependent mass particle by making use of the Langevin equation, in the context of …

We propose a one-dimensional diffusion equation (heat equation) for systems in which the
diffusion constant (thermal diffusivity) varies alternately with a spatial period a. We solve the …

Using the compact density matrix scheme and the effective mass approximation, we study
the influence of position-dependent electron and heavy-hole mass distributions on the …

Based on the group entropy theory, in this work, we generalize the algebra of real numbers
(referred to as G-algebra) along with its associated calculus, thus obtaining the algebraic …

The Dirac equation with position dependent mass (PDM) is studied for the modified Woods
Saxon potential. We solve the equation using the hypergeometry method and obtain the …

We study the Dirac equation with position dependent mass (PDM) for Modified Manning
Rosen potential. The Dirac equation with PDM is solved using Laplace method to obtain the …

In this work, we explore a generalization of the Dirac and Klein–Gordon (KG) oscillators,
provided with a deformed linear momentum inspired in nonextensive statistics, that gives …