Relativistic Kramers-Pasternack Recurrence Relations - Mathematical Physics - Download this document for free, or read online. Document in PDF available to download.

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