Closed-form expressions for the Dirac-Coulomb radial rt integrals

N. Bessis, G. Bessis, and D. Roux
Phys. Rev. A 32, 2044 – Published 1 October 1985
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Abstract

A novel procedure is devised in order to obtain closed-form expressions of the Dirac-Coulomb radial rt integrals in terms of the Dirac energy ɛ={1+Z2α2/[v+(k2-Z2 α2)1/2]2}1/2, where v=n-‖k‖, and of the Dirac quantum number k=(1)j+l+1/2(j+(1/2)). In this procedure, well adapted for symbolic computation, the fundamental array of the rt radial integrals is obtained from the rt1 array.

  • Received 25 March 1985

DOI:https://doi.org/10.1103/PhysRevA.32.2044

©1985 American Physical Society

Authors & Affiliations

N. Bessis, G. Bessis, and D. Roux

  • Laboratoire de Spectroscopie Théorique, Université Claude Bernard (Lyon I), F-69622 Villeurbanne, France

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Issue

Vol. 32, Iss. 4 — October 1985

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