Abstract
The charge spreading of the ground and excited states of Klein–Gordon particles moving in a Coulomb potential is quantitatively analysed by means of ordinary moments and the Heisenberg measure as well as by using the most relevant information-theoretic measures of global (Shannon entropic power) and local (Fisher 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 relativistic Klein–Gordon and non-relativistic Schrödinger values is made. Non-relativistic limits at large principal quantum number n and for small values of Z are also reached.
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