Application of algebraic combinatorics to finite spin systems with dihedral symmetry

dc.creatorBuckiewicz, S.
dc.creatorDȩbski, L.
dc.creatorFlorek, W.
dc.date2002-12-19
dc.date.accessioned2026-07-07T02:48:50Z
dc.date.available2026-07-07T02:48:50Z
dc.descriptionProperties 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, some planar macromolecules) 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 usefull in many branches of physics, but here it is applied to finite spin systems, which serve as models for mesoscopic magnets.
dc.description3 eps figs, 24 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0212476
dc.identifierhttp://arxiv.org/abs/cond-mat/0212476
dc.identifierActa Phys. Polon. A 100 (2001) 453
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20566
dc.subjectMesoscale and Nanoscale Physics
dc.titleApplication of algebraic combinatorics to finite spin systems with dihedral symmetry
dc.typetext

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