Dihedral symmetry of periodic chain: quantization and coherent states

Details Dihedral symmetry of periodic chain: quantization and coherent states Dihedral symmetry of periodic chain: quantization and coherent states

2007-02-19

arxiv.org/abs/quant-ph/0702180v2

J. Phys. A: Math. Theor. 40 (2007), 4833-4845

Physics

Quantum Physics

13 pages; minor changes of the text

Scientific paper

10.1088/1751-8113/40/18/010

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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