About: Quantizations on the circle and coherent states

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://dx.doi.org/10.1088/1751-8113/45/24/244027
Description	We present a possible construction of coherent states on the unit circle as configuration space. Our approach is based on Borel quantizations on S^1 including the Aharonov-Bohm-type quantum description. Coherent states are constructed by Perelomov's method as group-related coherent states generated by Weyl operators on the quantum phase space . 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 and coherent states over a finite periodic chain where the quantum phase space was ZxS^1. The coherent states constructed in this work are shown to satisfy the resolution of unity. To compare them with canonical coherent states, some of their further properties are also studied demonstrating similarities as well as substantial differences. We present a possible construction of coherent states on the unit circle as configuration space. Our approach is based on Borel quantizations on S^1 including the Aharonov-Bohm-type quantum description. Coherent states are constructed by Perelomov's method as group-related coherent states generated by Weyl operators on the quantum phase space . 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 and coherent states over a finite periodic chain where the quantum phase space was ZxS^1. The coherent states constructed in this work are shown to satisfy the resolution of unity. To compare them with canonical coherent states, some of their further properties are also studied demonstrating similarities as well as substantial differences. (en)
Title	Quantizations on the circle and coherent states Quantizations on the circle and coherent states (en)
skos:prefLabel	Quantizations on the circle and coherent states Quantizations on the circle and coherent states (en)
skos:notation	RIV/68407700:21340/12:00193460!RIV13-MSM-21340___
http://linked.open...avai/predkladatel	Fakulta jaderná a fyzikálně inženýrská
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	24
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Tolar, Jiří Chadzitaskos, Goce
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	163814
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/12:00193460
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Perelomov's coherent states; Aharonov-Bohm type quantizations; resolution of unity; uncertainty products (en)
http://linked.open.../riv/klicoveSlovo	Aharonov-Bohm type quantizations Perelomov's coherent states resolution of unity uncertainty products
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[EDAE5C0568F0]
http://linked.open...i/riv/nazevZdroje	Journal of Physics A: Mathematical and Theoretical
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	45
http://linked.open...iv/tvurceVysledku	Chadzitaskos, Goce Luft, P. Tolar, Jiří
http://linked.open...ain/vavai/riv/wos	000305394700028
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
issn	1751-8113
number of pages	15 (xsd:int)
http://bibframe.org/vocab/doi	10.1088/1751-8113/45/24/244027
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Quantizations on the circle and coherent states

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