Dihedral symmetry of periodic chain: quantization and coherent states

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dc.creatorLuft, P.
dc.creatorChadzitaskos, G.
dc.creatorTolar, J.
dc.date2007-02-19
dc.date2007-05-02
dc.date.accessioned2026-07-07T07:59:01Z
dc.date.available2026-07-07T07:59:01Z
dc.descriptionOur 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.
dc.description13 pages; minor changes of the text
dc.identifierhttps://arxiv.org/abs/quant-ph/0702180
dc.identifierhttp://arxiv.org/abs/quant-ph/0702180
dc.identifierJ. Phys. A: Math. Theor. 40 (2007), 4833-4845
dc.identifierdoi:10.1088/1751-8113/40/18/010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128218
dc.subjectQuantum Physics
dc.titleDihedral symmetry of periodic chain: quantization and coherent states
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