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

V. M. Shabaev

doi:10.1007/978-3-540-45059-7_6

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

V. M. Shabaev

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Abstract

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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V. M. Shabaev. 2002-11-19. Virial relations for the Dirac equation and their applications to calculations of H-like atoms. https://doi.org/10.1007/978-3-540-45059-7_6

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