Skip to main content
SpringerLink
Log in

Eine allgemeine Charakterenformel für Multiplett-Zustände

A general character formula for multiplet states

  • Commentationes
  • Published:
Theoretica chimica acta Aims and scope Submit manuscript

Abstract

Starting from the symmetry groupG × SU(2) for the special case of negligible spin-orbit coupling, a general character formula is derived for them-tuplet representation, which is realized in the space of state functions ofn-electron systems in fields with symmetryG. Apart from the characters of the initial representation for the single electron space function, the formula only contains the number of particlesn and the multiplicitym.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literatur

  1. Vgl. Schlußbemerkung in Ref. [2]

    Article  CAS  Google Scholar 

  2. Kotani, M.: J. Phys. Soc. Japan19, 2150 (1964)

    Article  CAS  Google Scholar 

  3. Goscinski, O., Öhrn, Y.: Int. J. Quantum Chem.2, 845 (1968)

    Article  Google Scholar 

  4. Hansen, K.H.: Theoret. Chim. Acta (Berl.)1, 159 (1963)

    Article  CAS  Google Scholar 

  5. Lomont,J.S.: Application of finite groups, Seite 28. New York 1959

  6. Vgl. Ref. [5], Seite 70

  7. Vgl. Ref. [5], Seite 149

  8. Ljubarski,G.J.: Anwendungen der Gruppentheorie in der Physik, Seite 66. Berlin 1962

  9. Vgl. Ref. [5], Seite 58

  10. Vgl. Ref. [5], Seite 149 [Normierungsfehler in Formel (11)]

  11. W.I.Smirnow: Lehrgang der höheren Mathematik III/1, Seite 66. Berlin 1971

  12. M.Hamermesh: Group theory, Seite 313. Reading (Mass.) 1962

  13. Griffith,J.S.: The theory of transition-metal ions, Appendix 2, Table A 25. Cambridge 1964

Download references

Author information

Authors and Affiliations

  1. Lehrstuhl für Theoretische Chemie der Universität Regensburg, Bundesrepublik Deutschland

    Gerhard Fieck & Günter Gliemann

Authors
  1. Gerhard Fieck
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Günter Gliemann
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Herrn Professor Dr. Hermann Hartmann zu seinem 60. Geburtstag gewidmet.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fieck, G., Gliemann, G. Eine allgemeine Charakterenformel für Multiplett-Zustände. Theoret. Chim. Acta 34, 245–250 (1974). https://doi.org/10.1007/BF02399012

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02399012

Key word

Search

Navigation