Shannon and Fisher entropies for a hydrogen atom under soft spherical confinement

DOI10.1016/j.physleta.2013.05.048zbMath1297.81066OpenAlexW2050925661MaRDI QIDQ465512

J. F. Rivas-Silva, N. Aquino, A. Flores-Riveros

Publication date: 23 October 2014

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2013.05.048

zbMATH Keywords

hydrogen atomvariational methodShannon-Fisher entropiessoft confinement

Mathematics Subject Classification ID

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)

Related Items (8)

Fisher information and Shannon entropy of position-dependent mass oscillators ⋮ Information and quantum theories: an analysis in one-dimensional systems ⋮ Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box ⋮ Quantum information measures of infinite spherical well ⋮ Fisher information for endohedrally confined hydrogen atom ⋮ Comparison of information-theoretic products and inequalities for the lowest bound and unbound electronic states of \(\mathrm{H}_2^+\) based on exact calculation ⋮ Shannon entropy and Fisher information for endohedral confined one- and two-electron atoms ⋮ Shannon entropy, Fisher information and uncertainty relations for log-periodic oscillators

Cites Work

• A Mathematical Theory of Communication
• Statistical complexity and Fisher-Shannon information measure of \(H^{+}_{2}\)
• Statistical complexity and Fisher-Shannon information in the H-atom
• Compression effects in helium-like atoms \((Z=1,\dots ,5)\) constrained by hard spherical walls
• Characterization of the Chandrasekhar correlated two-electron wavefunction using Fisher, Shannon and statistical complexity information measures
• Entropy and complexity analysis of Dirac-delta-like quantum potentials
• LMC complexity for the ground states of different quantum systems
• Fisher information as a measure of time
• The compressed helium atom treated variationally via a correlated Hylleraas wave function
• A generalized statistical complexity measure: Applications to quantum systems
• Information theoretic inequalities
• A logarithmic Sobolev inequality on the real line

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