Virial relations for the Dirac equation and their applications to calculations of H-like atoms

Details Virial relations for the Dirac equation and their applications to calculations of H-like atoms Virial relations for the Dirac equation and their applications to calculations of H-like atoms

2002-11-19

arxiv.org/abs/physics/0211087v1

In: "Precision Physics of Simple Atomic Systems", edited by S.G. Karshenboim and V.B. Smirnov, (Berlin, Springer 2003) p. 97.

Physics

Atomic Physics

Invited talk at PSAS 2002, St.Petersburg; 19 pages, 1 figure

Scientific paper

Virial relations for the Dirac equation in a central field and their applications to calculations of H-like atoms are considered. It is demonstrated that using these relations allows one to evaluate various average values for a hydrogenlike atom. The corresponding relations for non-diagonal matrix elements provide an effective method for analytical evaluations of infinite sums that occur in calculations based on using the reduced Coulomb-Green function. In particular, this method can be used for calculations of higher-order corrections to the hyperfine splitting and to the g factor in hydrogenlike atoms.

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