Shannon entropy: a study of confined hydrogenic-like atoms

Abstract

The Shannon entropy in the atomic, molecular and chemical physics context is presented by using as test cases the hydrogenic-like atoms $H_c$, ${H{e}_c}^{+}$ and ${L{i}_c}^{2+}$ confined by an impenetrable spherical box. Novel expressions for entropic uncertainty relation and Shannon entropies $S_r$ and $S_p$ are proposed to ensure their physical dimensionless characteristic. The electronic ground state energy and the quantities $S_r$, $S_p$ and $S_t$ are calculated for the hydrogenic-like atoms to different confinement radii by using a variational method. The global behavior of these quantities and different conjectures are analyzed. The results are compared, when available, with those previously published.

arXiv commentVersion accepted for publication in Chemical Physics Letters

References in corpus (3)

• Statistical complexity, Fisher-Shannon information, and Bohr orbits in the H-atom
• Universal property of the information entropy in fermionic and bosonic systems
• Information entropic measures of a quantum harmonic oscillator in symmetric and asymmetric confinement within an impenetrable box

Cited by in corpus (8)

• Two-dimensional confined hydrogen: An entropy and complexity approach
• Information-theoretic measures for a position-dependent mass system in an infinite potential well
• Coulomb Correlation and Information Entropies in Confined Helium-Like Atoms
• Electron Confinement study in a double quantum dot by means of Shannon Entropy Information
• Information and quantum theories: an analysis in one-dimensional systems
• Quantum-information theory of a Dirichlet ring with Aharonov-Bohm field
• Information theoretic measures on quantum droplets in ultracold atomic systems
• Informational analysis of the confinement of an electron in an asymmetric double quantum dot