Unitary-group approach to the many-electron correlation problem: Relation of Gelfand and Weyl tableau formulations

Josef Paldus
Phys. Rev. A 14, 1620 – Published 1 November 1976
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Abstract

The recent electronic orbital tableau ("jawbone") formulas of Harter and Patterson for matrix representatives of elementary generators of U(n) in the canonical basis are shown to be simply related to our expressions for the latter, which are based on a simplified Gelfand tableau formalism pertinent to N-electron problems, a brief survey of which is given in a form particularly suitable for computer implementation.

  • Received 18 May 1976

DOI:https://doi.org/10.1103/PhysRevA.14.1620

©1976 American Physical Society

Authors & Affiliations

Josef Paldus*

  • E. R. No. 139 du Centre Nationale de la Recherche Scientifique, Institut Le Bel, Boîte Postale 296/R8, Université Louis Pasteur, 67008 Strasbourg, France

  • *Permanent address: Quantum Theory Group, Dept. of Applied Mathematics, Faculty of Mathematics, and Dept. of Chemistry and Guelph-Waterloo Center for Graduate Work in Chemistry, Faculty of Science, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1.

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Vol. 14, Iss. 5 — November 1976

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