Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces
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DOI: 10.1063/1.5109244
Abstract: We construct radial fundamental solutions for the differential form Laplacian on negatively curved symmetric spaces. At least one of these Green's functions also yields a Biot-Savart Opearator, i.e. a right inverse of the exterior differential… read more here.
Keywords: curved symmetric; biot savart; negatively curved; symmetric spaces ... See more keywords
All-dielectric magnetic dipole and Biot–Savart–Laplace law for displacement currents in the ring
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DOI: 10.1063/5.0265372
Abstract: We have demonstrated that a dielectric plane ring with a high permittivity excited by an incident plane electromagnetic wave in the GHz frequency range is an almost ideal magnetic dipole for the basic resonance of… read more here.
Keywords: magnetic dipole; biot savart; savart laplace; laplace law ... See more keywords
On the Biot–Savart law of electromagnetism applied to the atomic circulation current *
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/abe832
Abstract: The law of Biot and Savart, derived by observation of the magnetic field produced by electric current flowing in a macroscopic conductor, is shown to yield the correct expression for the nuclear hyperfine interaction, when… read more here.
Keywords: biot savart; electromagnetism; circulation current; law ... See more keywords