Transverse Solutions of the Vector Laplace and Helmholtz Equations for Spherical Coordinates and Boundary Conditions with Azimuthal Symmetry

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dc.creatorMatute, Ernesto A.
dc.date2004-12-20
dc.date.accessioned2026-07-07T05:53:45Z
dc.date.available2026-07-07T05:53:45Z
dc.descriptionA scalar field method to obtain transverse solutions of the vector Laplace and Helmholtz equations in spherical coordinates for boundary-value problems with azimuthal symmetry is described. Neither scalar nor vector potentials are used. Solutions are obtained by use of separation of variables instead of dyadic Green's functions expanded in terms of vector spherical harmonics. Applications to the calculations of magnetic fields from steady and oscillating localized current distributions are presented.
dc.descriptionProceedings of The 8th World Multi-Conference on Systemics, Cybernetics and Informatics (SCI 2004), July 2004, Orlando, Florida, USA, Vol. II, pp. 402-405. Editors N. Callaos, W. Lesso and B. Sanchez
dc.identifierhttps://arxiv.org/abs/physics/0412127
dc.identifierhttp://arxiv.org/abs/physics/0412127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86752
dc.subjectClassical Physics
dc.subjectPhysics Education
dc.titleTransverse Solutions of the Vector Laplace and Helmholtz Equations for Spherical Coordinates and Boundary Conditions with Azimuthal Symmetry
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