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Symmetry Classification of Diatomic Molecular Chains

S. Lafortune·S. Tremblay·P. Winternitz
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Abstract

A symmetry classification of possible interactions in a diatomic molecular chain is provided. For nonlinear interactions the group of Lie point transformations, leaving the lattice invariant and taking solutions into solutions, is at most five-dimensional. An example is considered in which subgroups of the symmetry group are used to reduce the dynamical differential-difference equations to purely difference ones.

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S. Lafortune, S. Tremblay, P. Winternitz. 2002-04-12. Symmetry Classification of Diatomic Molecular Chains. https://doi.org/10.1063/1.1398583

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