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dc.contributor.authorBayındır, Cihantr_TR
dc.date.accessioned2018-06-22T12:27:01Z
dc.date.available2018-06-22T12:27:01Z
dc.date.issued2017
dc.identifier.citationBayındır, C. (2017). Rogue wavefunctions due to noisy quantum tunneling potentials. TWMS Journal of Applied and Engineering Mathematics, 7(2), 236.en_US
dc.identifier.issn2146-1147
dc.identifier.otherWOS:000419257600006
dc.identifier.urihttp://hdl.handle.net/11729/1315
dc.description.abstractIn this paper, we study the effects of white-noised potentials on nonlinear quantum tunneling. We use a split-step scheme to numerically solve the nonlinear Schrodinger equation (NLSE) with a tunneling potential. We consider three different types of potentials, namely; the single rectangular barrier, double rectangular barrier, and triangular barrier. For all these three cases, we show that white-noise given to potentials do not trigger modulation instability for tunneling of the sech type soliton solutions of the NLSE. However, white-noised potentials trigger modulation instability for tunneling of the sinusoidal wavefunctions; thus, such a wavefield turns into a chaotic one with many apparent peaks. We argue that peaks of such a field may be in the form of rational rogue wave solutions of the NLSE. Our results can be used to examine the effects of noise on quantum tunneling. Since a rogue wavefunction means a higher probability of the tunneling particle to be at a given (x,t) coordinate, our results may also be used for developing the quantum science and technology with many possible applications including but are not limited to increasing the resolution and efficiency of scanning tunneling microscopes, enhancing proton tunneling for DNA mutation and enhancing superconducting properties of junctions.en_US
dc.language.isoenen_US
dc.publisherTURKIC WORLD MATHEMATICAL SOCen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.sourceTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.subjectQuantum tunnelingen_US
dc.subjectRogue wavesen_US
dc.subjectSpectral methodsen_US
dc.subjectNonlinear Schrodinger equationen_US
dc.subjectGravity-wavesen_US
dc.titleRogue wavefunctions due to noisy quantum tunneling potentialsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.contributor.departmentIşık Üniversitesi, Mühendislik Fakültesi,İnşaat Mühendisliği Bölümütr_TR
dc.contributor.departmentIsik University, Faculty of Engineering, Department of Civil Engineeringen_US
dc.contributor.authorID32617
dc.identifier.volume7
dc.identifier.issue2
dc.identifier.startpage236
dc.identifier.endpage247
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US


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