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Questions tagged [electromagnetism]

For questions on Classical Electromagnetism from a mathematical standpoint. This tag should not be the sole tag on a question.

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Trouble with Stokes' Theorem and the line integral of a piece-wise definition of a continuous curve using polar coordinates.

Problem Statement: Given: $\vec B = (\rho cos \phi)\hat \rho+(sin \phi)\hat \phi$ Verify Stokes' Theorem by evaluating: a) $\oint\limits_c \vec B \bullet d\vec l$, where c represents the closed, ...
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Spatial curves that obey $z'-r^2 \theta' = \text{const.}$ in cylindrical coordinates

I am interested in a class of (arc-length parametrized) curves $\gamma:\mathbb{R} \to \mathbb{R}^3$ with the following property: If the curve is written in cylindral coordinates $(r,\theta,z)$, it ...
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Convolution type integral with two variables

Is there some canonical way to approach integrals of type $$I(k,q) = \int {\rm d}^{3} s~ e^{i k \cdot s} f\left(|s|\right)g\left(|q-s|^2\right),$$ where $s$, $k$ and $q$ are momentum vectors, and ...