Electric polarizability in the three dimensional problem and the solution of an inhomogeneous differential equation

TL;DR

This paper extends a method for calculating electric polarizability from one-dimensional to three-dimensional problems, demonstrating its effectiveness in solving complex inhomogeneous differential equations.

Contribution

The paper introduces an extension of the inhomogeneous differential equation method to three-dimensional electric polarizability calculations, advancing previous one-dimensional approaches.

Findings

Successful application of the method to three-dimensional problems

Improved accuracy in calculating electric polarizability

Demonstrated effectiveness in complex inhomogeneous differential equations

Abstract

In previous publications, we illustrated the effectiveness of the method of the inhomogeneous differential equation in calculating the electric polarizability in the one-dimensional problem. In this paper we extend our effort to apply the method to the three-dimensional problem.