Geometric Algebra Formulation of the Calderón Projector

摘要

Geometric Algebra provides a mathematical framework that allows to express many equations of physics in a more compact way [1]. It unifies the electric and the magnetic field in a single mathematical object: a multivector. Then, the four Maxwell's equations can be written as a single one. Here we study how the integral formulation of the electromagnetic field in Geometric Algebra naturally embeds the Calderon Projector when the field is evaluated in a surface.