Variational principle, characteristic electric multipoles, and higher polarizing moments in field theory |
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Authors: | V P Kazantsev |
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Institution: | (1) Krasnoyarsk State University, Krasnoyarsk, Russia |
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Abstract: | Based on the variational principle, we introduce a new notion: the characteristic electric multipoles constituting a system
of basic distributions of charge on the boundary of a spatial domain. Inside the domain, potentials of the characteristic
multipoles are harmonic polynomials whose orders determine the minimum orders of nonzero spherical multipole moments of the
characteristic multipoles. Using the characteristic multipole formalism, we solve the moment problem in electrostatics and
construct the superconductor Lagrangian in an electrostatic field. We express the empty-space Green's function for the Laplace
equation using the characteristic multipole potentials.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 119, No. 3, pp. 441–454, June, 1999 |
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