Alguns resultados no espaço-tempo do monopolo global com constante cosmológica.

Abstract

In this work we studied the behavior of non-relativistic and relativistic free quantum particles in the space-time generated by a global monopole with cosmological constant. We found the energy spectra for that system in the presence of this topological defect and showed as they differ from the corresponding to the flat space-time and we quantitative estimates for two adjacent levels. We observed that there is a discretization of the energy levels of a purely topological.