Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/4892
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dc.contributor.authorPashaev, Oktay-
dc.date.accessioned2017-02-23T11:46:17Z-
dc.date.available2017-02-23T11:46:17Z-
dc.date.issued2012-
dc.identifier.citationPashaev, O. (2012). Vortex images, q-calculus and entangled coherent states. Journal of Physics: Conference Series, 343. doi:10.1088/1742-6596/343/1/012093en_US
dc.identifier.issn1742-6588-
dc.identifier.issn1742-6596-
dc.identifier.urihttp://doi.org/10.1088/1742-6596/343/1/012093-
dc.identifier.urihttp://hdl.handle.net/11147/4892-
dc.description7th International Conference on Quantum Theory and Symmetries, QTS7; Prague; Czech Republic; 7 August 2011 through 13 August 2011en_US
dc.description.abstractThe two circles theorem for hydrodynamic flow in annular domain bounded by two concentric circles is derived. Complex potential and velocity of the flow are represented as q-periodic functions and rewritten in terms of the Jackson q-integral. This theorem generalizes the Milne-Thomson one circle theorem and reduces to the last on in the limit q → ∞. By this theorem problem of vortex images in annular domain between coaxial cylinders is solved in terms of q-elementary functions. An infinite set of images, as symmetric points under two circles, is determined completely by poles of the q-logarithmic function, where dimensionless parameter q = r 2 2/r 1 2 is given by square ratio of the cylinder radii. Motivated by Möbius transformation for symmetrical points under generalized circle in complex plain, the system of symmetric spin coherent states corresponding to antipodal qubit states is introduced. By these states we construct the maximally entangled orthonormal two qubit spin coherent state basis, in the limiting case reducible to the Bell basis. Average energy of XYZ model in these states, describing finite localized structure with characteristic extremum points, appears as an energy surface in maximally entangled two qubit space. Generalizations to three and higher multiple qubits are found. We show that our entangled N qubit states are determined by set of complex Fibonacci and Lucas polynomials and corresponding Binet-Fibonacci q-calculus.en_US
dc.description.sponsorshipTUBITAK, TBAG Project 110T679 and Izmir Institute of Technologyen_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltd.en_US
dc.relationinfo:eu-repo/grantAgreement/TUBITAK/TBAG/110T679en_US
dc.relation.ispartofJournal of Physics: Conference Seriesen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectQuantum entanglementen_US
dc.subjectVortex flowen_US
dc.subjectCalculationsen_US
dc.subjectDimensionless parametersen_US
dc.subjectJackson q-integralen_US
dc.titleVortex images, q-calculus and entangled coherent statesen_US
dc.typeConference Objecten_US
dc.authoridTR57865en_US
dc.institutionauthorPashaev, Oktay-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume343en_US
dc.identifier.wosWOS:000301174100092en_US
dc.identifier.scopus2-s2.0-84858228880en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1088/1742-6596/343/1/012093-
dc.relation.doi10.1088/1742-6596/343/1/012093en_US
dc.coverage.doi10.1088/1742-6596/343/1/012093en_US
dc.identifier.scopusquality--
item.fulltextWith Fulltext-
item.cerifentitytypePublications-
item.openairetypeConference Object-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
item.languageiso639-1en-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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