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Group Theoretical Approaches to Many-Electron Correlation Problem

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Symmetries in Science II

Abstract

The unitary group approach (UGA) to many-fermion correlation problem may be regarded as a direct outgrowth of the original ideas as laid down by Hermann Weyll in his “Gruppentheorie and Quantenmechanik”. Although these advances have in the past been overshadowed by the simplicity of Slater determinant based formalisms, and have even been referred tol at one time as a “group pest”, today we find Weyl’s original ideas very much alive and well, particularly in the many-electron correlation problem. For instance, the Gelfand-Tsetlin (GT) representation theory’ of the unitary group is a natural extension of Weyl’s branching rule presented in the very last Section of his book.1

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  1. Department of Applied Mathematics and (GWC), University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

    Josef Paldus

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  1. Southern Illinois University, Carbondale, Illinois, USA

    Bruno Gruber  & Romuald Lenczewski  & 

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Paldus, J. (1986). Group Theoretical Approaches to Many-Electron Correlation Problem. In: Gruber, B., Lenczewski, R. (eds) Symmetries in Science II. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1472-2_38

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