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) …

The classical nonlinear oscillator, proposed by Mathews and Lakshmanan [Q. Appl. Math.
32, 215 (1974)] and including a position-dependent mass in the kinetic energy term, is …

Liénard-type nonlinear oscillators with linear and nonlinear dam** terms exhibit diverse
dynamical behavior in both the classical and quantum regimes. In this paper, we consider …

In position dependent mass (PDM) problems, the quantum dynamics of the associated
systems have been understood well in the literature for particular orderings. However, no …

We carry out an exact quantization of a PT-symmetric (reversible) Liénard-type one-
dimensional nonlinear oscillator both semiclassically and quantum mechanically. The …

The quantization of systems with a position dependent mass (PDM) is studied. We present a
method that starts with the study of the existence of Killing vector fields for the PDM geodesic …

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 …

A one-dimensional nonlinear harmonic oscillator is studied in the context of generalized
coherent states. We develop a perturbative framework to compute the eigenvalues and …

In this paper, we investigate the integrability aspects of a physically important nonlinear
oscillator which lacks sufficient number of Lie point symmetries but can be integrated by …

Nonlinear oscillators play an important role in science and engineering and they exist in
many types depending on the physical problem and its corresponding dynamical system …