Two dimensional lattice vibrations from direct product representations of symmetry groups

DOI10.1155/S0161171283000666zbMath0591.70023OpenAlexW2130743122MaRDI QIDQ1075080

P. N. Raychowdhury, J. N. Boyd

Publication date: 1983

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46053

zbMATH Keywords

projection operatorsnatural frequenciesdiagonalizationArrangements of point massesBorn cyclic conditioncylindrical arrangementdouble chain composed of coupled linear latticesideal harmonic springsmodel two dimensional crystalsquadratic Lagrangian functiontoroidal Ising model

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Modal analysis in linear vibration theory (70J10) Applications of group representations to physics and other areas of science (20C35)

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