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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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-02-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-77702-1 |
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| author | Talat Körpinar Zeliha Körpinar Hatice özdemir ALi Akgül Murad Khan Hassani |
| author_facet | Talat Körpinar Zeliha Körpinar Hatice özdemir ALi Akgül Murad Khan Hassani |
| author_sort | Talat Körpinar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0d7df04b86724b208952e702cb73ec39 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-0d7df04b86724b208952e702cb73ec392025-02-09T12:37:06ZengNature PortfolioScientific Reports2045-23222025-02-011511810.1038/s41598-024-77702-1Optical hausdorff quantum energy of spherical magnetic particlesTalat Körpinar0Zeliha Körpinar1Hatice özdemir2ALi Akgül3Murad Khan Hassani4Department of Mathematics, Muş Alparslan UniversityDepartment of Administration, Muş Alparslan UniversityDepartment of Mathematics, Muş Alparslan UniversityDepartment of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATSDepartment of Mathematics, Ghazni UniversityAbstract 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.https://doi.org/10.1038/s41598-024-77702-1Spherical magnetic curveLorentz magnetic fieldHausdorff derivativeHausdorff energy |
| spellingShingle | Talat Körpinar Zeliha Körpinar Hatice özdemir ALi Akgül Murad Khan Hassani Optical hausdorff quantum energy of spherical magnetic particles Scientific Reports Spherical magnetic curve Lorentz magnetic field Hausdorff derivative Hausdorff energy |
| title | Optical hausdorff quantum energy of spherical magnetic particles |
| title_full | Optical hausdorff quantum energy of spherical magnetic particles |
| title_fullStr | Optical hausdorff quantum energy of spherical magnetic particles |
| title_full_unstemmed | Optical hausdorff quantum energy of spherical magnetic particles |
| title_short | Optical hausdorff quantum energy of spherical magnetic particles |
| title_sort | optical hausdorff quantum energy of spherical magnetic particles |
| topic | Spherical magnetic curve Lorentz magnetic field Hausdorff derivative Hausdorff energy |
| url | https://doi.org/10.1038/s41598-024-77702-1 |
| work_keys_str_mv | AT talatkorpinar opticalhausdorffquantumenergyofsphericalmagneticparticles AT zelihakorpinar opticalhausdorffquantumenergyofsphericalmagneticparticles AT haticeozdemir opticalhausdorffquantumenergyofsphericalmagneticparticles AT aliakgul opticalhausdorffquantumenergyofsphericalmagneticparticles AT muradkhanhassani opticalhausdorffquantumenergyofsphericalmagneticparticles |