Classical and quantum superintegrability with applications
W Miller, S Post, P Winternitz - Journal of Physics A: Mathematical …, 2013 - iopscience.iop.org
A superintegrable system is, roughly speaking, a system that allows more integrals of motion
than degrees of freedom. This review is devoted to finite dimensional classical and quantum …
than degrees of freedom. This review is devoted to finite dimensional classical and quantum …
[图书][B] Orthogonal polynomials of several variables
CF Dunkl, Y Xu - 2014 - books.google.com
Serving both as an introduction to the subject and as a reference, this book presents the
theory in elegant form and with modern concepts and notation. It covers the general theory …
theory in elegant form and with modern concepts and notation. It covers the general theory …
The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic
B Hamil, BC Lütfüoğlu - Physica A: Statistical Mechanics and its …, 2023 - Elsevier
In the framework of the theory of Dunkl-deformed bosons, Bose–Einstein condensation of
two and three-dimensional Dunkl-boson gases confined in the one-dimensional …
two and three-dimensional Dunkl-boson gases confined in the one-dimensional …
Thermal properties of relativistic Dunkl oscillators
B Hamil, BC Lütfüoğlu - The European Physical Journal Plus, 2022 - Springer
For a better understanding of the physical systems, even at the quantum level, the thermal
quantities can be investigated. Recently, we realized that the parity of the system can also …
quantities can be investigated. Recently, we realized that the parity of the system can also …
Ideal Bose gas and blackbody radiation in the Dunkl formalism
Recently, deformed quantum systems have received lots of attention in the literature. Dunkl
formalism differs from others by containing the difference-differential and reflection operator …
formalism differs from others by containing the difference-differential and reflection operator …
Exact solutions of the 2D Dunkl–Klein–Gordon equation: The Coulomb potential and the Klein–Gordon oscillator
RD Mota, D Ojeda-Guillén… - … Physics Letters A, 2021 - World Scientific
We introduce the Dunkl–Klein–Gordon (DKG) equation in 2D by changing the standard
partial derivatives by the Dunkl derivatives in the standard Klein–Gordon (KG) equation. We …
partial derivatives by the Dunkl derivatives in the standard Klein–Gordon (KG) equation. We …
One-dimensional quantum mechanics with Dunkl derivative
WS Chung, H Hassanabadi - Modern Physics Letters A, 2019 - World Scientific
In this paper, we consider the quantum mechanics with Dunkl derivative. We use the Dunkl
derivative to obtain the coordinate representation of the momentum operator and …
derivative to obtain the coordinate representation of the momentum operator and …
The Dunkl oscillator in the plane II: representations of the symmetry algebra
The superintegrability, wavefunctions and overlap coefficients of the Dunkl oscillator model
in the plane were considered in the first part. Here finite-dimensional representations of the …
in the plane were considered in the first part. Here finite-dimensional representations of the …
Coherent states of the one-dimensional Dunkl oscillator for real and complex variables and the Segal–Bargmann transformation of Dunkl-type
S Ghazouani - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
In this paper, we construct coherent states of a parity deformation of the Heisenberg algebra
and we examine some of its properties. We show that these states minimize the uncertainty …
and we examine some of its properties. We show that these states minimize the uncertainty …
Dunkl graphene in constant magnetic field
B Hamil, BC Lütfüoğlu - The European Physical Journal Plus, 2022 - Springer
Graphene-based materials are thought to revolutionize entire industries. Therefore, many
researches are being carried on graphene theoretically and experimentally. On the other …
researches are being carried on graphene theoretically and experimentally. On the other …