Theoretica chimica acta

, Volume 36, Issue 4, pp 289–296 | Cite as

The synthetic construction of spin eigenfunctions in second quantization representation

  • Paul J. A. Ruttink


The second quantization method is used to derive a recursion formula for the construction of spin eigenfunctions in the branching diagram method which simplifies the application of this method considerably. By application of this recursion formula the branching diagram functions are expressed as linear combinations of spin-paired functions. A one-to-one correspondence is established between the set of branching diagram paths and the set of spin-paired functions used to construct the branching diagram functions. This leads to a simple method for the construction of independent sets of spinpaired functions for arbitrary multiplicities.

Key words

Genealogical construction Spin-pairing method Independent spin eigenfunctions 


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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • Paul J. A. Ruttink
    • 1
  1. 1.Theoretical Chemistry GroupRijksuniversiteit UtrechtThe Netherlands

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