L’equació de Dirac i la modelització pel grafè

Abstract

My Grade’s Final Project will deal with some topics such as the Fourier space analysis, the Quantum Mechanics and the General Relativity in order to introduce and study the Equation that arose from the fusion of these physic theories and be came one of the most unique and beautiful equations in the history of the twentieth century: the Dirac’s Equation. Furthermore, it will approach the origin of the Dirac’s Equation to give a rise to an exhaustive research of the Dirac’s operator and the result that will demonstrate the existence of the space of solutions for the the Dirac’s Equation. And, last but not least, it will offer an outstanding application of the Dirac’s Equation for a material that is currently on point due to its extraordinary properties in the electric conduction: the modeling of graphene in terms of the Dirac's Equation.