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Unitary Group Approach to Many-Electron Correlation Problem

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The Unitary Group for the Evaluation of Electronic Energy Matrix Elements

Part of the book series: Lecture Notes in Chemistry ((LNC,volume 22))

Abstract

The main purpose of this article is to present a brief outline of the unitary group approach to the many-electron correlation problem, its underlying principles, development and present achievements, as well as its relationship to other approaches to the problem of spin adaptation and Hamiltonian matrix evaluation. Thus, a foundation will be laid for the subsequent articles in these proceedings which address these problems from different viewpoints and in much greater detail, and also deal with and suggest solutions to the various facets of this and related topics. The space available here is clearly inadequate to cover all these aspects at any length. Consequently, we will restrict ourselves to a brief outline, giving appropriate references and, wherever possible, illustrating the underlying concepts via simple examples and physical intuition rather than attempting to develop a mathematically rigorous general theory.

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Author information

Authors and Affiliations

  1. Quantum Theory Group Department of Applied Mathematics Faculty of Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3Gl

    Josef Paldus

  2. Department of Chemistry and Guelph-Waterloo Center for Graduate Work in Chemistry Waterloo Campus, Faculty of Science, University of Waterloo, Waterloo, Ontario, Canada, N2L 3Gl

    Josef Paldus

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  1. Josef Paldus
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Editors and Affiliations

  1. Fakultät für Chemie, Universität Bielefeld, Universitätsstr., Postfach 8640, 4800, Bielefeld, Germany

    Jürgen Hinze

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Paldus, J. (1981). Unitary Group Approach to Many-Electron Correlation Problem. In: Hinze, J. (eds) The Unitary Group for the Evaluation of Electronic Energy Matrix Elements. Lecture Notes in Chemistry, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93163-5_1

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  • DOI: https://doi.org/10.1007/978-3-642-93163-5_1

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