Optical hausdorff quantum energy of spherical magnetic particles

Abstract In this article, a new approach for spherical magnetic curves under the spherical system in spherical space is given. Firstly, the Hausdorff derivative of the Lorentz spherical magnetic fields $$\phi ( \varvec{\beta }),$$ $$\phi \left( \varvec{t}\right) ,$$ $$\phi \left( \varvec{n}\right)$$...

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Bibliographic Details
Main Authors: Talat Körpinar, Zeliha Körpinar, Hatice özdemir, ALi Akgül, Murad Khan Hassani
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-77702-1
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Summary:Abstract In this article, a new approach for spherical magnetic curves under the spherical system in spherical space is given. Firstly, the Hausdorff derivative of the Lorentz spherical magnetic fields $$\phi ( \varvec{\beta }),$$ $$\phi \left( \varvec{t}\right) ,$$ $$\phi \left( \varvec{n}\right)$$ of spherical magnetic curves is constructed. On the other hand, the Lorentz spherical magnetic fields, by considering the Hausdorff derivative definition, are presented. Eventually, the Hausdorff energies of these spherical Lorentz fields according to the spherical system in $$\mathbb {S}^{2}$$ spherical space are computed.
ISSN:2045-2322