Schrödinger equation with position-dependent mass (PDM) allows the identification of
quantum wave functions in a complex environment. Following the progress of this …

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 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 …

The axiomatic structure of the κ-statistcal theory is proven. In addition to the first three
standard Khinchin–Shannon axioms of continuity, maximality, and expansibility, two further …

In this work, we consider Horndeski gravity deformed by a parameter in its kinetic terms
embedded in asymptotically Lifshitz spacetimes. We obtain black brane solutions in this …

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 obtain the exact energy spectrum of nonuniform mass particles for a collection of
Hamiltonians in a three-dimensional approach to a quantum dot. By considering a set of …

n-dimensional PDM-damped harmonic oscillators: linearizability, and exact solvability -
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The non-relativistic Feynman propagator with position dependent mass (PDM) is formulated
by means to introduce the generalized infinitesimal translation operator approach. Which is …

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 …