2010/01/08 by D. Manzano, D Manzano, R. J. Yanez +3
Mathematics · Physics and Astronomy · #Charge (physics) #Coulomb #Excited state #Measure (data warehouse) #Principal quantum number #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Quantum number #Schrödinger equation #Spectral Theory in Mathematical Physics #quant-ph
paper · pdf · doi:10.1088/1367-2630/12/2/023014
Accepted in New Journal of Physics
arxiv created 2010/01/08 · openalex publication_date 2010/02/11 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.