# Dual solutions Schr\"odinger type for Poisson equation in dielectric and magnetic linear media

## TL;DR

This paper derives and applies dual Schr"odinger-type solutions for the Poisson equation in dielectric and magnetic media, providing new analytical methods for specific potential problems in these materials.

## Contribution

It introduces a dual form of the Schr"odinger equation derived from the Poisson equation for potentials in dielectric and magnetic media, with applications to specific potentials.

## Key findings

- Derived dual Schr"odinger-type solutions for Poisson equations in media
- Applied solutions to specific potential problems
- Enhanced analytical tools for electromagnetic material analysis

## Abstract

Solutions are obtained for the dual form of the Schr\"odinger equation got from the transformation of Poisson equation for the vector and the scalar potential, in dielectric and magnetic materials, having into account homogeneous isotropic linear mechanisms. We study and apply these dual equation solutions in some specific potentials.