Fractional Schrödinger equation in gravitational optics
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Publication:5006028
DOI10.1142/S0217732321400034zbMATH Open1467.35298arXiv2101.11920MaRDI QIDQ5006028
Author name not available (Why is that?)
Publication date: 12 August 2021
Published in: (Search for Journal in Brave)
Abstract: This paper addresses issues surrounding the concept of fractional quantum mechanics, related to lights propagation in inhomogeneous nonlinear media, specifically restricted to a so called gravitational optics. Besides Schr"odinger Newton equation, we have also concerned with linear and nonlinear Airy beam accelerations in flat and curved spaces and fractal photonics, related to nonlinear Schr"odinger equation, where impact of the fractional Laplacian is discussed. Another important feature of the gravitational optics' implementation is its geometry with the paraxial approximation, when quantum mechanics, in particular, fractional quantum mechanics, is an effective description of optical effects. In this case, fractional-time differentiation reflexes this geometry effect as well.
Full work available at URL: https://arxiv.org/abs/2101.11920
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