Relativistic Klein-Gordon charge effects by information-theoretic measures

Abstract

The charge spreading of ground and excited states of Klein-Gordon particles moving in a Coulomb potential is quantitatively analyzed by means of the ordinary moments and the Heisenberg measure as well as by use of the most relevant information-theoretic measures of global (Shannon entropic power) and local (Fisher's information) types. The dependence of these complementary quantities on the nuclear charge Z and the quantum numbers characterizing the physical states is carefully discussed. The comparison of the relativistic Klein-Gordon and non-relativistic Schrodinger values is made. The non-relativistic limits at large principal quantum number n and for small values of Z are also reached.

Accepted in New Journal of Physics

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Cited by in corpus (4)

• Shannon Entropy and Fisher Information of the one-dimensional Klein-Gordon oscillator with energy-dependent potential
• Quantifying Dirac hydrogenic effects via complexity measures
• Complexity analysis of Klein-Gordon single-particle systems
• Two types of $q$-Gaussian distributions used to study the diffusion in a finite region