Relativistic Klein-Gordon charge effects by information-theoretic measures

Details Relativistic Klein-Gordon charge effects by information-theoretic measures Relativistic Klein-Gordon charge effects by information-theoretic measures

2010-01-08

arxiv.org/abs/1001.1228v1

Physics

Quantum Physics

Accepted in New Journal of Physics

Scientific paper

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.

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