Relativistic sum rules and integral properties of the Dirac equation

Authors

S. P. Goldman
Gordon W. F. Drake, University of WindsorFollow

Document Type

Article

Publication Date

1982

Publication Title

Physical Review A

Volume

25

Issue

6

First Page

2877

Last Page

2881

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. © 1982 The American Physical Society.

Comments

copyright American Physical Society http://dx.doi.org/10.1103/PhysRevA.25.2877

Recommended Citation

Goldman, S. P. and Drake, Gordon W. F.. (1982). Relativistic sum rules and integral properties of the Dirac equation. Physical Review A, 25 (6), 2877-2881.
https://scholar.uwindsor.ca/physicspub/94