Espectros de energia na mecânica quântica polimérica

Abstract

The formulation and experimental verication of a consistent theory of Quantum Gravitation is one of the greatest challenges in Physics nowadays. Between the candidates for this post is the Loop Quantum Gravity, it suggests a reinterpretation of space-time, that in planckian scale, would assume the form of a net of points spaced by a minimal length characteristic of nature. In this work we deal with a model that incorporates this concept and applies it to the context of low energies, the Polymer Quantum Mechanics, we discuss the differences on the physics of this model an that of the model on minimal uncertainty, in special the Generalized Uncertainty principle, where the spacial discretization is a consequence of modifications in canonical commutation relations. We use the perturbative method to calculate first order corrections in the energy spectra of some known potentials, we observe through graphics the energy scales involved and compare the results with other corrections that arise in the context of high energies.