Dihedral symmetry of periodic chain: quantization and coherent states
arXiv:quant-ph/0702180 · doi:10.1088/1751-8113/40/18/010
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.
13 pages; minor changes of the text