Non-commutative reading of the complex plane through Delone sequences

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dc.creatorAli, S. Twareque
dc.creatorBalkova, Lubka
dc.creatorCurado, E. M. F.
dc.creatorGazeau, J. P.
dc.creatorRego-Monteiro, M. A.
dc.creatorRodrigues, Ligia M. C. S.
dc.creatorSekimoto, K.
dc.date2008-11-26
dc.date.accessioned2026-07-07T12:08:33Z
dc.date.available2026-07-07T12:08:33Z
dc.descriptionThe Berezin-Klauder-Toeplitz ("anti-Wick") quantization or "non-commutative reading" 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 "too far" 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.
dc.description37 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0811.4400
dc.identifierhttp://arxiv.org/abs/0811.4400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209353
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleNon-commutative reading of the complex plane through Delone sequences
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