Titlebook: Line Groups in Physics; Theory and Applicati Milan Damnjanović,Ivanka Milošsević Book 2010 Springer-Verlag Berlin Heidelberg 2010 Analysis

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Symmetrical Compounds,nfinite classes of such elementary systems, and their various combinations give any system periodic along one direction, exhausting all line group symmetries. The most efficientway to completely determine configuration of a system is to define coordinates for one atom from each orbit.

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Magnetic Line Groups,time reversal operation .. These groups and their . besides being relevant in the context of spin ordering and magnetic phenomena, give insight into the properties of energy spectrum in some other dynamical problems.

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Introduction, extraordinary characteristics originate from their reduced dimensionality and regular structure. Discovery of carbon nanotubes by Iijima in 1991, and the revolution they caused in material science, additionally stressed out that quasi-one-dimensionality was crucially responsible for the peculiariti

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Line Groups Structure, one. Their structure is a weak direct product of the intrinsic symmetry of monomer and the group of generalized translations, arranging these monomers along the direction of periodicity. Continuously many of these groups are classified into 13 infinite families. Only 75 of the line groups are subgr

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Irreducible Representations,itary representations as the relevant ones in the quantum mechanical framework. Such representations are decomposable to the irreducible components, which are ingredients sufficient for composition of any unitary representations. Hence, in this chapter, we construct and tabulate irreducible unitary

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