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arXiv · 0908.3021

Relativistic Kramers-Pasternack Recurrence Relations

Sergei K. Suslov
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Abstract

Recently we have evaluated the matrix elements $ $,$ where $O$ $={1,\beta, i\mathbf{\alpha n}\beta} $ are the standard Dirac matrix operators and the angular brackets denote the quantum-mechanical average for the relativistic Coulomb problem, in terms of generalized hypergeometric functions $_{3}F_{2}(1) $ for all suitable powers and established two sets of Pasternack-type matrix identities for these integrals. The corresponding Kramers--Pasternack three-term vector recurrence relations are derived here.

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Sergei K. Suslov. 2009-08-20. Relativistic Kramers-Pasternack Recurrence Relations. https://doi.org/10.1088/0953-4075/43/7/074006

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