Higher-order phase-space moments for Morse oscillators and their harmonic limit
O Cherroud, SA Yahiaoui - The European Physical Journal Plus, 2023 - Springer
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 …
matrix elements)⟨ x^ mp^ l⟩ for the Morse oscillator potential is presented. We show that …
The Husimi function of a semiconfined harmonic oscillator model with a position-dependent effective mass
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 …
with a position-dependent effective mass is constructed. We have found the Husimi …
The Wigner function of a semiconfined harmonic oscillator model with a position-dependent effective mass
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 …
quantum harmonic oscillator model that exhibits the semiconfinement effect through its mass …
(p, q)-Rogers-Szegö Polynomial and the (p, q)-Oscillator
R Jagannathan, R Sridhar - The legacy of Alladi Ramakrishnan in the …, 2010 - Springer
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 …
the q-binomial coefficient in it by the (p, q)-binomial coefficient corresponding to the …
The Wigner distribution function for the one-dimensional parabose oscillator
E Jafarov, S Lievens… - Journal of Physics A …, 2008 - iopscience.iop.org
In the beginning of the 1950s, Wigner introduced a fundamental deformation from the
canonical quantum mechanical harmonic oscillator, which is nowadays sometimes called a …
canonical quantum mechanical harmonic oscillator, which is nowadays sometimes called a …
Superposition and interference states in q-deformed quantum oscillator
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 …
harmonic oscillator are studied. It is found that the intensity of the q deformation parameter …
Description of the Bluffing Phenomenon in the Untrusted Seller–Buyer Relationship via the Wigner Function of the q-Deformed Quantum Harmonic Oscillator Model
EI Jafarov - Studies in Microeconomics, 2024 - journals.sagepub.com
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 …
untrusted seller–buyer relationship. We assumed that the demand law by the buyer is …
Generalized Laguerre polynomials with position-dependent effective mass visualized via Wigner's distribution functions
We construct, analytically and numerically, the Wigner distribution functions for the exact
solutions of the position-dependent effective mass Schrödinger equation for two cases …
solutions of the position-dependent effective mass Schrödinger equation for two cases …
Transition to sub-Planck structures through the superposition of q-oscillator stationary states
EI Jafarov, J Van der Jeugt - Physics Letters A, 2010 - Elsevier
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 …
These quantum states are expressed by means of Rogers–Szegö polynomials. We show …
[图书][B] Advances in quantum metrology: Continuous variables in phase space
BT Gard - 2016 - search.proquest.com
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 …
quantum metrology but also strives to be useful as a how-to guide for those who wish to …