dc.contributor.author | SAYGİLİ, KAMURAN | |
dc.date.accessioned | 2021-03-03T15:59:32Z | |
dc.date.available | 2021-03-03T15:59:32Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | SAYGİLİ K., "Trkalian fields and Radon transformation", JOURNAL OF MATHEMATICAL PHYSICS, cilt.51, sa.3, 2010 | |
dc.identifier.issn | 0022-2488 | |
dc.identifier.other | av_41dd3d83-5b7a-4efd-8742-54d37522beee | |
dc.identifier.other | vv_1032021 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12627/47998 | |
dc.identifier.uri | https://doi.org/10.1063/1.3293982 | |
dc.description.abstract | We write the spherical curl transformation for Trkalian fields using differential forms. Then we consider Radon transform of these fields. The Radon transform of a Trkalian field satisfies a corresponding eigenvalue equation on a sphere in transform space. The field can be reconstructed using knowledge of the Radon transform on a canonical hemisphere. We consider relation of the Radon transformation with Biot-Savart integral operator and discuss its transform introducing Radon-Biot-Savart operator. The Radon transform of a Trkalian field is an eigenvector of this operator. We also present an Ampere-law type relation for these fields. We apply these to Lundquist solution. We present a Chandrasekhar-Kendall-type solution of the corresponding equation in the transform space. Lastly, we focus on the Euclidean topologically massive Abelian gauge theory. The Radon transform of an anti-self-dual field is related by antipodal map on this sphere to the transform of the self-dual field obtained by inverting space coordinates. The Lundquist solution provides an example of quantization of topological mass in this context. | |
dc.language.iso | eng | |
dc.subject | Fizik | |
dc.subject | Temel Bilimler | |
dc.subject | Genel Fizik | |
dc.subject | Temel Bilimler (SCI) | |
dc.subject | FİZİK, MATEMATİK | |
dc.title | Trkalian fields and Radon transformation | |
dc.type | Makale | |
dc.relation.journal | JOURNAL OF MATHEMATICAL PHYSICS | |
dc.contributor.department | İstanbul Üniversitesi , Fen Fakültesi , Matematik Bölümü | |
dc.identifier.volume | 51 | |
dc.identifier.issue | 3 | |
dc.contributor.firstauthorID | 598060 | |