Dihedral symmetry of periodic chain: quantization and coherent states
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 Zn of arbitrary order n=2,3,..., but a larger group - the non-Abelian dihedral group Dn - 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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