Information theoretic measures in one-dimensional Dunkl oscillator

DOI10.1063/5.0200405zbMATH Open1545.8106MaRDI QIDQ6597632

Amlan K. Roy, Debraj Nath, Niladri Ghosh

Publication date: 3 September 2024

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum entropies (81P17)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
A Mathematical Theory of Communication
Direct spreading measures of Laguerre polynomials
On linearization and connection coefficients for generalized Hermite polynomials
Spreading lengths of Hermite polynomials
Operational rules and a generalized Hermite polynomials
Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions
Reflection groups in analysis and applications
Generalized Hermite polynomials and the heat equation for Dunkl operators
Deformed Heisenberg algebra, fractional spin fields, and supersymmetry without fermions
Some Clebsch-Gordan type linearization relations and associated families of Dirichlet integrals.
Theory of statistical estimation.
Tsallis and Rényi divergences of generalized Jacobi polynomials
Relative Fisher information in some central potentials
Generalized Shannon inequalities based on Tsallis relative operator entropy
Reflection groups and orthogonal polynomials on the sphere
Energy minimization methods in computer vision and pattern recognition. 4th international workshop, EMMCVPR 2003, Lisbon, Portugal, July 7--9, 2003. Proceedings.
Exact operator solution of the Calogero-Sutherland model
Possible generalization of Boltzmann-Gibbs statistics.
Superstatistics of the Dunkl oscillator
The Dunkl oscillator in the plane. II: Representations of the symmetry algebra
Exact solution of the relativistic Dunkl oscillator in \((2+1)\) dimensions
A note on operator inequalities of Tsallis relative operator entropy
The Dunkl-Coulomb problem in the plane
Exact solutions of the generalized Dunkl oscillator in the Cartesian system
Quantum similarity index and Rényi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials
Minimal bosonization of supersymmetry
Nonextensive information theoretic kernels on measures
Fundamental properties of Tsallis relative entropy
Divergence measures based on the Shannon entropy
On Uniqueness Theorems for Tsallis Entropy and Tsallis Relative Entropy
A generalization of the Kullback–Leibler divergence and its properties
Differential-Difference Operators Associated to Reflection Groups
On the convexity of some divergence measures based on entropy functions
Integral Kernels with Reflection Group Invariance
Logarithmic potential of Hermite polynomials and information entropies of the harmonic oscillator eigenstates
General linearization formulae for products of continuous hypergeometric-type polynomials
Effect of the Wigner–Dunkl algebra on the Dirac equation and Dirac harmonic oscillator
Linearization and Krein-like functionals of hypergeometric orthogonal polynomials
Some Integrals of the products of laguerre polynomials
The Dunkl oscillator in the plane: I. Superintegrability, separated wavefunctions and overlap coefficients
Landau levels for the (2 + 1) Dunkl–Klein–Gordon oscillator
The Dunkl–Coulomb problem in three-dimensions: energy spectrum, wave functions and h-spherical harmonics
Exact solutions of the 2D Dunkl–Klein–Gordon equation: The Coulomb potential and the Klein–Gordon oscillator
Algebraic approach for the one-dimensional Dirac–Dunkl oscillator
One-dimensional quantum mechanics with Dunkl derivative
A generalized divergence measure for robust image registration
Jensen divergence based on Fisher’s information
Orthogonal Polynomials of Several Variables
Do the Equations of Motion Determine the Quantum Mechanical Commutation Relations?
On Information and Sufficiency
A Note on the Quantum Rule of the Harmonic Oscillator
Coherent states of the one-dimensional Dunkl oscillator for real and complex variables and the Segal–Bargmann transformation of Dunkl-type
Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well
Computation of higher-order moments of generalized polynomial chaos expansions

This page was built for publication: Information theoretic measures in one-dimensional Dunkl oscillator

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6597632)