Nov 15, 2017 · I am trying to better understand what the multipole expansion means from a phyiscal point of view. Although mathematically, one may say it is just another form of a series …

A multipole expansion of some object in some basis is saying Hmmm, I have this funny shaped thing that isn't an elementary mathematical function, but I want to express it as a sum of …

Oct 30, 2023 · The multipole expansion allowed the mathematical construction of these platelets and showed they minimize the torque between two platelets when the platelets were touching …

Feb 16, 2013 · Relation between multipole moment and angular scale of CMB Ask Question Asked 12 years, 9 months ago Modified 11 years, 8 months ago

Feb 12, 2024 · Therefore, we would always have the first term of the multipole expansion dominating over the rest. Hence, the question that follows quite naturally is: is there any case …

Is the multipole expansion an expansion in powers of $1/r$ only? or of $\cos\theta$ too? Maybe this is not an independent question, but I am wondering if there is something like a …

For example: Multipole expansion - spherical form, in Wikipedia I bet that this is not the case, but I want to know why. For example, when used as integrands, are these expressions …

Aug 28, 2014 · A multipole expansion is similar to a Fourier transform, which maps functions to an infinite number of Fourier coefficients. One can write any function as a linear combination over …

Aug 16, 2024 · 4 Below is an image of real spherical harmonics in wikipedia. These are used in different scenarios, but when they represent charge distributions on a spherical shell (see e.g. …

Apr 3, 2014 · In Griffith's electrodynamic: 3.4.2 He pointed out that the monopole term is the exact potential for a single point charge. However I was under the impression that different …