Relativistic sum rules and integral properties of the Dirac equation

S. P. Goldman and G. W. F. Drake
Phys. Rev. A 25, 2877 – Published 1 June 1982
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Abstract

Relativistic generalizations are derived for the well-known nonrelativistic electric-dipole oscillator-strength sum rules. The relativistic sum rules include both positive- and negative-energy states. The derivations are valid for a Dirac electron in an arbitrary local potential. We also present a number of simple integral properties related to the relativistic virial theorem which are useful in the calculation of matrix elements.

  • Received 3 November 1981

DOI:https://doi.org/10.1103/PhysRevA.25.2877

©1982 American Physical Society

Authors & Affiliations

S. P. Goldman and G. W. F. Drake

  • Department of Physics, University of Windsor, Windsor, Ontario, Canada N9B 3P4

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Issue

Vol. 25, Iss. 6 — June 1982

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