Skip to main content

The Unitary Group for the Evaluation of Electronic Energy Matrix Elements

Unitary Group Workshop 1979

  • Book
  • © 1981

Overview

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (18 chapters)

Keywords

About this book

During the last thirty years, with the development of high speed electronic computers, methods have evolved, which permit an accurate and quantitative, ab initio determina­ tion of the electronic wavefunctions of atoms and molecules. Thus a detailed elucida­ tion of the electronic energy and structure of molecules has become possible using quantum mechanics directly. Ho\~ever, it is necessary, if such calculations are to yield accurate and reliable results, to include electron correlation explicitely, which requires in general . configuration mixing procedures with an extremely large 5 number of configurations, of the order of 10 configurations. With eigenvalue problems of this size, the limits of even the largest and fastest computers are reached rapidly, and their solution has become possible only, because direct methods have been deve~ loped which permit the determination of eigenvalues and eigenvectors for such large matrices iteratively without constructing the energy matrix explicitely. These direct methods had been limited to the description of closed shell systems, i. e. systems with a single dominant closed shell reference determinant. This limitation arose, because with an open shell reference or with several reference determinants, no procedures were known, which allowed a rapid calculation of the energy matrix elements between configurations with general and widely different spin couplings, which would be necessary. Recently such methods have been developed, based on early work of Gelfand, Biedenharn and Moshinski using a unitary group representation of different spin coupled states; Paldus achieved an extremely compact description.

Editors and Affiliations

  • Fakultät für Chemie, Universität Bielefeld, Bielefeld, Germany

    Jürgen Hinze

Bibliographic Information

  • Book Title: The Unitary Group for the Evaluation of Electronic Energy Matrix Elements

  • Book Subtitle: Unitary Group Workshop 1979

  • Editors: Jürgen Hinze

  • Series Title: Lecture Notes in Chemistry

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

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin · Heidelberg 1981

  • Softcover ISBN: 978-3-540-10287-8Published: 01 February 1981

  • eBook ISBN: 978-3-642-93163-5Published: 06 December 2012

  • Series ISSN: 0342-4901

  • Series E-ISSN: 2192-6603

  • Edition Number: 1

  • Number of Pages: VI, 376

  • Topics: Organic Chemistry

Publish with us