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Abstracts
Properties of a given symmetry group G are very important in investigation of a physical system invariant under its action. In the case of finite spin systems (magnetic rings as Fe_6, Cu_6, Fe_{10}, some planar macromolecules as Fe_{12} or Fe_8) the symmetry group is isomorphic with the dihedral group D_N. In this paper group-theoretical "parameters" of such groups are determined, especially decompositions of transitive representations into irreducible ones and double cosets. These results are necessary to construct matrix elements of any operator commuting with G in an efficient way. The approach proposed can be useful in many branches of physics, but here it is applied to finite spin systems, which serve as models for mesoscopic magnets.
Discipline
Journal
Year
Volume
Issue
Pages
453-475
Physical description
Dates
published
2001-10
received
2001-06-11
(unknown)
2001-07-13
Contributors
author
- Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
- Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
- Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv100n405kz