Relativistic Kramers-Pasternack recurrence relations

Research output: Contribution to journalArticle

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Abstract

Recently we have evaluated the matrix elements 〈Orp〉, where O 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 3F2(1) for all suitable powers and established two sets of Pasternack-type matrix identities for these integrals. The corresponding Kramers-Pasternack-type three-term vector recurrence relations are derived.

Original languageEnglish (US)
Article number074006
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume43
Issue number7
DOIs
StatePublished - 2010

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matrices
hypergeometric functions
brackets
operators

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics

Cite this

Relativistic Kramers-Pasternack recurrence relations. / Suslov, Sergei.

In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 43, No. 7, 074006, 2010.

Research output: Contribution to journalArticle

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