An explicit and general formula for (m, l) diagonal higher-order phase-space moments (ie
matrix elements)⟨ x^ mp^ l⟩ for the Morse oscillator potential is presented. We show that …

In this paper, the phase space representation for a semiconfined harmonic oscillator model
with a position-dependent effective mass is constructed. We have found the Husimi …

We propose a phase-space representation concept in terms of the Wigner function for a
quantum harmonic oscillator model that exhibits the semiconfinement effect through its mass …

Summary A (p, q)-analog of the classical Rogers-Szegö polynomial is defined by replacing
the q-binomial coefficient in it by the (p, q)-binomial coefficient corresponding to the …

In the beginning of the 1950s, Wigner introduced a fundamental deformation from the
canonical quantum mechanical harmonic oscillator, which is nowadays sometimes called a …

Wave functions and probability density functions of superposition states of aq-deformed
harmonic oscillator are studied. It is found that the intensity of the q deformation parameter …

The q-deformed quantum harmonic oscillator model is applied to the description of the
untrusted seller–buyer relationship. We assumed that the demand law by the buyer is …

We construct, analytically and numerically, the Wigner distribution functions for the exact
solutions of the position-dependent effective mass Schrödinger equation for two cases …

We investigate the superposition of four different quantum states based on the q-oscillator.
These quantum states are expressed by means of Rogers–Szegö polynomials. We show …

This dissertation serves as a general introduction to Wigner functions, phase space, and
quantum metrology but also strives to be useful as a how-to guide for those who wish to …