Articles with "mathematical formalism" as a keyword



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Induced Eddy Currents in Simple Conductive Geometries: Mathematical Formalism Describes the Excitation of Electrical Eddy Currents in a Time-Varying Magnetic Field

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Published in 2018 at "IEEE Antennas and Propagation Magazine"

DOI: 10.1109/map.2017.2774206

Abstract: A complete mathematical formalism is introduced to describe the excitation of electrical eddy currents due to a time-varying magnetic field. The process works by applying a quasistatic approximation to Ampere's law and then segregating the… read more here.

Keywords: electrical eddy; eddy currents; field; mathematical formalism ... See more keywords

Why physical understanding should precede the mathematical formalism—Conditional quantum probabilities as a case-study

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Published in 2019 at "American Journal of Physics"

DOI: 10.1119/1.5115980

Abstract: Conditional probabilities in quantum systems which have both initial and final boundary conditions are commonly evaluated using the Aharonov-Bergmann-Lebowitz rule. In this short note we present a seemingly disturbing paradox that appears when applying the… read more here.

Keywords: physical understanding; mathematical formalism; precede mathematical; physics ... See more keywords
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A Unified Mathematical Formalism for First to Third Order Dielectric Response of Matter: Application to Surface-Specific Two-Colour Vibrational Optical Spectroscopy

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Published in 2021 at "Symmetry"

DOI: 10.3390/sym13010153

Abstract: To take advantage of the singular properties of matter, as well as to characterize it, we need to interact with it. The role of optical spectroscopies is to enable us to demonstrate the existence of… read more here.

Keywords: response; mathematical formalism; unified mathematical; dielectric response ... See more keywords