О матричном подходе к задачам электродинамики

Abstract

A matrix method for calculation of eigenvalues and eigenfunctions of the Laplace operator for a closed electrodynamic system (ES) is offered. This is based on decomposition of the electrodynamic potentials in a set of partial functions of the ES (synonyms: partial oscillators, oscillets). The eigenvalues problem is solved in two stages. First, the partial functions are evaluated. Second, the intervalues matrix is diagonalized and eigenfunctions are calculated.