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From Eikonal to Antieikonal Approximations: Competition of Scales in the Framework of Schrödinger and Classical Wave Equation

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dc.contributor.author Vázquez, Luis
dc.contributor.author Velasco, M. Pilar
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Vázquez-Poletti, J. Luis
dc.contributor.author Jiménez, Salvador
dc.date.accessioned 2024-03-28T12:18:56Z
dc.date.available 2024-03-28T12:18:56Z
dc.date.issued 2022-08-01
dc.identifier.citation Vázquez, Luis;...et.al. (2022). "From Eikonal to Antieikonal Approximations: Competition of Scales in the Framework of Schrödinger and Classical Wave Equation", Journal of Computational and Nonlinear Dynamics, Vol.17, No.8. tr_TR
dc.identifier.issn 15551415
dc.identifier.uri http://hdl.handle.net/20.500.12416/7797
dc.description.abstract We present a description of certain limits associated with the Schrödinger equation, the classical wave equation, and Maxwell equations. Such limits are mainly characterized by the competition of two fundamental scales. More precisely: (1) The competition of an exploratory wavelength and the scale of fluctuations is associated with the media where the propagation takes place. From that, the universal behaviors arise eikonal and anti-eikonal. (2) In the context above, it is specially relevant and promising the study of propagation of electromagnetic waves in a media with a self-similar structure, like a fractal one. These systems offer the suggestive scenario where the eikonal and anti-eikonal behaviors are simultaneous. This kind of study requires large and massive computations that are mainly possible in the framework of the cloud computing. Recently, we started to carry out this task. (3) Finally and as a collateral aspect, we analyze the Planck constant in the interval 0≤h≤∞. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1115/1.4054153 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Cloud Computing tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Maxwell Equations tr_TR
dc.subject Schrodinger Equations tr_TR
dc.subject Wave Equations tr_TR
dc.title From Eikonal to Antieikonal Approximations: Competition of Scales in the Framework of Schrödinger and Classical Wave Equation tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Computational and Nonlinear Dynamics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 17 tr_TR
dc.identifier.issue 8 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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