Spherical Multipole Moments

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High Quality Content by WIKIPEDIA articles! Spherical multipole moments are the coefficients in a series expansion of a potential that varies inversely with the distance R to a source, i.e., as 1/R. Examples of such potentials are the electric potential, the magnetic potential and the gravitational potential. For clarity, we illustrate the expansion for a point charge, then generalize to an arbitrary charge density rho. hrough this article, the primed coordinates such as mathbf{r^{prime}} refer to the position of charge(s), whereas the unprimed coordinates such as mathbf{r} refer to the point at which the potential is being observed. We also use spherical coordinates throughout, e.g., the vector mathbf{r^{prime}} has coordinates ( r^{prime}, theta^{prime}, phi^{prime}) where r^{prime} is the radius, theta^{prime} is the colatitude and phi^{prime} is the azimuthal angle.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130312879
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Genre Chemie
    • Größe H220mm x B150mm x T4mm
    • Jahr 2009
    • EAN 9786130312879
    • Format Kartonierter Einband
    • ISBN 978-613-0-31287-9
    • Titel Spherical Multipole Moments
    • Untertitel Electric Potential, Magnetic Potential, Gravitational Potential, Legendre Polynomials, Axial Multipole Moments, Spherical Harmonics, Solid Harmonics
    • Gewicht 118g
    • Herausgeber Betascript Publishers
    • Anzahl Seiten 68

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