The Boltzmann–Gibbs (BG) entropy and its associated statistical mechanics were
generalized, three decades ago, on the basis of the nonadditive entropy S q (q∈ R), which …

A short review of the main properties of coherent and squeezed states is given in the
introductory form. The efforts are addressed to clarify concepts and notions, including some …

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

In this study, we have constructed a generalized momentum operator based on the notion of
backward–forward coordinates characterized by a low dynamical nonlocality decaying …

We consider canonically conjugated generalized space and linear momentum operators x^
q and p^ q in quantum mechanics, associated with a generalized translation operator which …

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 …

Over the recent decades, diverse formalisms have emerged that are adopted to approach
complex systems. Amongst those, we may quote the q-calculus in Tsallis' version of Non …

In this work we calculate the Cramér–Rao, the Fisher–Shannon and the López–Ruiz–
Mancini–Calbert (LMC) complexity measures for eigenstates of a deformed Schrödinger …