In this study, we have constructed a generalized Schrödinger equation in fractal dimensions
characterized by an effective potential which is generated by a position-dependent mass …

A new higher order Schrödinger equation characterized by a position-dependent mass is
introduced based on long-range spatial kernel effects and von Roos arguments. The …

The concept of generalized momentum operator which is motivated from the generalized
uncertainty principle has been extensively investigated in quantum mechanics and various …

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 …

Kee** in view the ordering ambiguity that arises due to the presence of position-
dependent effective mass in the kinetic energy term of the Hamiltonian, a general scheme …

We develop generalized coherent states based on the Gazeau–Klauder formalism for a
particle with position-dependent mass trapped in an infinite square well. We study 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 …

We develop generalized coherent states for a class of nonlinear oscillators with position-
dependent effective mass in the context of the Gazeau–Klauder formalism and discuss some …