FLUX 发表于 2025-3-21 18:00:48
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Book 2021res, readers will delve into the definitions, properties, and uses of directed quantities in classical field theory. With an emphasis on both mathematical and electrodynamic concepts, the author’s illustrative approach will help readers understand the critical role directed quantities play in physicIrrigate 发表于 2025-3-22 02:17:01
https://doi.org/10.1007/978-3-663-11467-3laced by a pair: a planar scalar and a planar vector—all three are respectively nontwisted or twisted quantities. Similar replacements of spatial quantity by pairs of planar quantities are needed for other types. For the exterior forms, so-called restrictions to plane are necessary.neuron 发表于 2025-3-22 04:58:34
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Electromagnetism in Space-Time,—its direction determines time axis. In space-time, two field quantities, namely a . . joining the . and . fields, and a . uniting the . and . fields, are sufficient to write down two of Maxwell’s equations with the use of exterior derivatives of differential forms. They are independent of the metric of space-time.Electrolysis 发表于 2025-3-22 18:09:57
https://doi.org/10.1007/978-3-322-85114-7Section 4.1 is devoted to describing electromagnetism as far as possible in a metric-free manner. This includes definitions of relevant physical quantities and principal relations: field quantities, potentials, densities of charge, current, energy and energy flux, Maxwell’s equations, Lorentz force, continuity equation, and gauge transformation.prosperity 发表于 2025-3-22 21:57:17
https://doi.org/10.1007/978-3-663-11467-3This chapter is devoted to electromagnetic waves, as far as possible treated without the use of metric. Essential notions, necessary to describe any wave are introduced in Sect. 5.1, namely: a phase, a wave covector and a one-from of slowness as a quantity dual to phase velocity (which can’t be defined uniquely in a metric-free manner).过去分词 发表于 2025-3-23 04:36:37
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