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Published in 2019 at "Journal of Mathematical Physics"
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…
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Keywords:
curved symmetric;
biot savart;
negatively curved;
symmetric spaces ... See more keywords
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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…
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Keywords:
biot savart;
electromagnetism;
circulation current;
law ... See more keywords