Journal ArticleDOI
Recoupling coefficients of the symmetric group for shell and cluster model configurations
TLDR
In this article, the symmetric group recoupling coefficients are defined from the reduction of irreducible representations of this group to direct product representations of particular subgroups of particular shells or clusters.Abstract:
Recoupling coefficients of the symmetric group are defined from the reduction of irreducible representations of this group to direct product representations of particular subgroups. These recoupling coefficients are analysed and shown to be identical to the invariants of unitary groups arising from the reduction of Kronecker product representations. The recoupling coefficients have applications in configurations of several shells or clusters.read more
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Journal ArticleDOI
Group theory and second quantization for nonorthogonal orbitals
TL;DR: In this paper, the authors consider the problem of characterizing n-particle states by the irreducible representations of a mathematically convenient chain of subgroups of the linear group giving rise to Gel'fand states.
Journal ArticleDOI
Clifford algebra unitary-group approach to many-electron system partitioning.
Journal ArticleDOI
Studies in the nuclear cluster model: (II). Two-cluster configurations
Peter Kramer,Thomas H. Seligman +1 more
TL;DR: In this paper, the configuration of two clusters is analyzed and adapted to orbital symmetry using the concept of double coset generators, basic integrals for normalization and for the application of two-body operators are determined and classified according to their exchange type.
Journal ArticleDOI
Nth rank tensor representations of U(n) symmetry adapted to subgroups of the symmetric group SN
TL;DR: In this paper, the orthogonality and completeness relations of the symmetric group expressed in terms of double coset representative matrix elements are used to establish general relations that must be satisfied by the coupling coefficients of the unitary group.
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