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Results tagged with fourier-transform
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user 346801
A unitary linear operator which resolves a function on $\mathbb{R}^N$ into a linear superposition of "plane wave functions". Most often used in physics for calculating the response of a time shift invariant linear system as the sum of its response to time harmonic excitation or for transforming a quantum state in position co-ordinates into one in momentum co-ordinates and contrawise. There is also a discrete, fast Fourier transform for discretised data.
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Does infinite magnetic energy $\Leftrightarrow$ non-zero out-of-plane current flux?
Consider a static current density $j_z(x,y)$ flowing out of an infinite 2D plane with $\mu=1$.
$j_z(x,y)$ should be physical such as $0<j_z(x,y)<M$ and $\lim_{\sqrt{x^2+y^2} \rightarrow \infty}j_z(x,y …
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