Shannon entropy, Fisher information and uncertainty relations for log-periodic oscillators

DOI10.1016/j.physa.2014.12.031zbMath1395.82019OpenAlexW1964730051MaRDI QIDQ1783367

I. Guedes, Victor H. Aguiar

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2014.12.031

zbMATH Keywords

Fisher informationShannon entropylog-periodic oscillators

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Quantum equilibrium statistical mechanics (general) (82B10) Measures of information, entropy (94A17)

Related Items (5)

Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential ⋮ Entropy and information of a harmonic oscillator in a time-varying electric field in 2D and 3D noncommutative spaces ⋮ Information measures of a deformed harmonic oscillator in a static electric field ⋮ Information entropy as a measure of tunneling and quantum confinement in a symmetric double-well potential ⋮ Entropy and information of a spinless charged particle in time-varying magnetic fields

Cites Work

• Unnamed Item
• Shannon and Fisher entropies for a hydrogen atom under soft spherical confinement
• Local coordinate, wave vector, Fisher and Shannon information in momentum representation
• Position and momentum information-theoretic measures of a \(D\)-dimensional particle-in-a-box
• Information theories for time-dependent harmonic oscillator
• A nonlinear superposition rule for solutions of the Milne-Pinney equation
• Adomian decomposition method for a reliable treatment of the Emden-Fowler equation
• Quantum information entropies for a squared tangent potential well
• Quantum Fisher information for a qubit system placed inside a dissipative cavity
• ENTANGLEMENT FOR JAYNES CUMMINGS MODEL IN THE PRESENCE MULTI-PHOTON PROCESS UNDER DECOHERENCE EFFECT
• The Shannon-entropy-based uncertainty relation forD-dimensional central potentials
• A quantum uncertainty relation based on Fisher's information
• Position–momentum correlations in the Moshinsky atom
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• APPLICATIONS OF LIE SYSTEMS IN DISSIPATIVE MILNE–PINNEY EQUATIONS
• A generalization of the Lane–Emden equation
• Information theoretic inequalities
• Entropic uncertainty relations for a quantum oscillator
• On the quantum information entropies and squeezing associated with the eigenstates of the isotonic oscillator
• Investigation of the time evolutions of some log-periodic oscillators
• Exact Quantization Conditions. II
• Wave functions of log-periodic oscillators
• The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0

This page was built for publication: Shannon entropy, Fisher information and uncertainty relations for log-periodic oscillators