Coherent States on the Circle

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00179923" target="_blank" >RIV/68407700:21340/11:00179923 - isvavai.cz</a>
Result on the web
<a href="http://iopscience.iop.org/1742-6596/284/1/012016/" target="_blank" >http://iopscience.iop.org/1742-6596/284/1/012016/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/284/1/012016" target="_blank" >10.1088/1742-6596/284/1/012016</a>

Result language
angličtina
Original language name
Coherent States on the Circle
Original language description
We present a possible construction of coherent states on the unit circle as configuration space. In our approach the phase space is the product ?xS1. Because of the duality of canonical coordinates and momenta, i.e. the angular variable and the integers,this formulation can also be interpreted as coherent states over an infinite periodic chain. For the construction we use the analogy with our quantization over a finite periodic chain where the phase space was ?M x?M. Properties of the coherent states constructed in this way are studied and the coherent states are shown to satisfy the resolution of unity.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

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)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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