A generalized statistical complexity based on Rényi entropy of a noncommutative anisotropic oscillator in a homogeneous magnetic field

DOI10.1142/S0217751X19501057zbMath1467.81063OpenAlexW2956603689MaRDI QIDQ5009072

Piu Ghosh, Debraj Nath

Publication date: 18 August 2021

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x19501057

zbMATH Keywords

Rényi entropynoncommutative anisotropic oscillatorgeneralized Rényi complexityshape Rényi complexity

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Noncommutative geometry in quantum theory (81R60) Measures of information, entropy (94A17)

Related Items (4)

Superstatistics of anisotropic oscillator in a noncommutative plane ⋮ Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well ⋮ Energy and information-entropic measures of Hulthén potential in \(D\) dimension by a new approximation to centrifugal term ⋮ Quantum similarity index and Rényi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Role of information theoretic uncertainty relations in quantum theory
• Monotone measures of statistical complexity
• Local wave-vector, Shannon and Fisher information
• Statistical complexity and Fisher-Shannon information in the H-atom
• Maximum Rényi entropy principle and the generalized Thomas-Fermi model
• LMC complexity for the ground states of different quantum systems
• A class of Rényi information estimators for multidimensional densities
• The non-commutative oscillator, symmetry and the Landau problem
• Entropic properties of \(D\)-dimensional Rydberg systems
• The world according to Rényi: Thermodynamics of multifractal systems
• Defining statistical relative complexity measure: application to diversity in atoms
• Possible generalization of Boltzmann-Gibbs statistics.
• The Sobolev inequality and the Tsallis entropic uncertainty relation
• Some features of the López-Ruiz-Mancini-Calbet (LMC) statistical measure of complexity.
• Noncommutative anisotropic oscillator in a homogeneous magnetic field
• Inverse atomic densities and inequalities among density functionals
• The Hausdorff entropic moment problem
• Generalized complexity measures and chaotic maps
• THE LANDAU PROBLEM AND NONCOMMUTATIVE QUANTUM MECHANICS
• Some features of the statistical complexity, Fisher–Shannon information and Bohr-like orbits in the quantum isotropic harmonic oscillator
• A generalized statistical complexity measure: Applications to quantum systems
• Noncommutative 3D harmonic oscillator
• Practical Quantum Mechanics II
• NONCOMMUTATIVE QUANTUM MECHANICS: THE TWO-DIMENSIONAL CENTRAL FIELD
• The noncommutative harmonic oscillator in more than one dimension
• A statistical complexity measure with nonextensive entropy and quasi-multiplicativity
• Quantum mechanics on the noncommutative plane and sphere
• Two phases of the noncommutative quantum mechanics

This page was built for publication: A generalized statistical complexity based on Rényi entropy of a noncommutative anisotropic oscillator in a homogeneous magnetic field