Dihedral Symmetry of Periodic Chain: Quantization and Coherent States
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F07%3A04129489" target="_blank" >RIV/68407700:21340/07:04129489 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Dihedral Symmetry of Periodic Chain: Quantization and Coherent States
Original language description
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 orders 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 is proved. Our approach based on geometric symmetry can be used as a kinematic framework for matrix methods in quantum chemistry ofring molecules.
Czech name
Symetrie dihedrálni grupy periodického řetízku: kvantování a koherentní stavy
Czech description
Je odvozeno kvantování a koherentní stavy na konečném periodickém řetízku se symetrií dihedrálni grupy.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics A: Mathematical and Theoretical
ISSN
1751-8113
e-ISSN
—
Volume of the periodical
40
Issue of the periodical within the volume
18
Country of publishing house
GB - UNITED KINGDOM
Number of pages
13
Pages from-to
4833-4845
UT code for WoS article
—
EID of the result in the Scopus database
—