About: Noncommutative Reading of the Complex Plane through Delone Sequences

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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
Description	The Berezin-Klauder-Toeplitz (\%22anti-Wick\%22) quantization or \%22non-commutative reading\%22 of the complex plane, viewed as the phase space of a particle moving on the line, is derived from the resolution of the unity provided by the standard (or gaussian) coherent states. The construction properties of these states and their attractive properties are essentially based on the energy spectrum of the harmonic oscillator, that is on the natural numbers. This work is an attempt for following the same path by considering sequences of non-negative numbers which are not \%22too far\%22 from the natural numbers. In particular, we examine the consequences of such perturbations on the non-commutative reading of the complex plane in terms of its probabilistic, functional, and localization aspects. The Berezin-Klauder-Toeplitz (\%22anti-Wick\%22) quantization or \%22non-commutative reading\%22 of the complex plane, viewed as the phase space of a particle moving on the line, is derived from the resolution of the unity provided by the standard (or gaussian) coherent states. The construction properties of these states and their attractive properties are essentially based on the energy spectrum of the harmonic oscillator, that is on the natural numbers. This work is an attempt for following the same path by considering sequences of non-negative numbers which are not \%22too far\%22 from the natural numbers. In particular, we examine the consequences of such perturbations on the non-commutative reading of the complex plane in terms of its probabilistic, functional, and localization aspects. (en)
Title	Noncommutative Reading of the Complex Plane through Delone Sequences Noncommutative Reading of the Complex Plane through Delone Sequences (en)
skos:prefLabel	Noncommutative Reading of the Complex Plane through Delone Sequences Noncommutative Reading of the Complex Plane through Delone Sequences (en)
skos:notation	RIV/68407700:21340/09:00174615!RIV11-GA0-21340___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/09/0584), P(LC06002), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Balková, Lubomíra
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	329669
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/09:00174615
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	complex plane, coherent states, noncommutative reading of the complex plane, delone sequences (en)
http://linked.open.../riv/klicoveSlovo	complex plane coherent states delone sequences noncommutative reading of the complex plane
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[B52B73B6F7FE]
http://linked.open...i/riv/nazevZdroje	Journal of Mathematical Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	7 (xsd:int)
http://linked.open...vavai/riv/projekt	Algebraic and combinatorial aspects of aperiodic structures Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	50
http://linked.open...iv/tvurceVysledku	Balková, Lubomíra Gazeau, J. P. Ali, S. T. Curado, E.M.F. Rego-Monteiro, M. A. Rodrigues, L.M.C. Sekimoto, K.
http://linked.open...ain/vavai/riv/wos	000266596800043
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
issn	0022-2488
number of pages	28 (xsd:int)
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Noncommutative Reading of the Complex Plane through Delone Sequences

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