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Dihedral symmetry of periodic chain: quantization and coherent states

P. Luft·G. Chadzitaskos·J. Tolar
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Abstract

Our previous work on quantum kinematics and coherent states over finite configuration spaces is extended: the configuration space is, as before, the cyclic group Z_n of arbitrary order n=2,3,..., but a larger group - the non-Abelian dihedral group D_n - is taken as its symmetry group. The corresponding group related coherent states are constructed and their overcompleteness proved. Our approach based on geometric symmetry can be used as a kinematic framework for matrix methods in quantum chemistry of ring molecules.

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P. Luft, G. Chadzitaskos, J. Tolar. 2007-05-02. Dihedral symmetry of periodic chain: quantization and coherent states. https://doi.org/10.1088/1751-8113/40/18/010

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