Atomic wave functions for the configurations snpm studied by the projection operator technique

Tables of angular momentum wave functions and energy matrices for the atomic configurations sⁿ p^m are given in the cases of strong, weak and intermediate coupling. Also the transformation matrices between LS- and jj-coupling are calculated.All these calculations are carried out as an application of the projection operator method for angular momenta, introduced by Löwdin.

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Zusammenfassung Eigenfunktionen des Drehimpulses und entsprechende Energiematrizen für die Atomkonfigurationen sⁿ p^m sind für die drei Kopplungsfälle, LS, jj und intermediär tabelliert. Matrizen für Transformationen zwischen LS- und jj-Kopplung werden angegeben. Alle diese Rechnungen sind auf die von Löwdin eingeführte Projektionsoperatormethode gegründet.

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Résumé On a calculé des fonctions propres du moment cinétique ainsi que les matrices correspondantes de l'énergie, pour les configurations atomiques sⁿ p^m. Les trois types de couplage, LS, jj et intermédiaire ont été étudiés, ainsi que les matrices de transformation entre ces couplages. Pour tous ces calculs on a utilisé la méthode des projecteurs pour le moment cinétique, introduite par Löwdin.

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A preliminary version of this paper was published as a Technical Note No. 39 from the Quantum Chemistry Group, University of Uppsala, March 1, 1960.The work reported in this paper has been sponsored in part by the King Gustaf VI Adolf's 70-Year Fund for Swedish Culture, Knut and Alice Wallenberg's Foundation, the Swedish Natural Science Research Council, and in part by the Aeronautical Research Laboratory Wright Air Development Division of the Air Research and Development Command, United States Air Force, through its European Office.