Potencial delta de Dirac em um cenário de comprimento mínimo

Abstract

Theories that propose the unification of general relativity and quantum mechanics, for example the Quantum Gravity and String Theory, point to the existence of a minimum value of observable length. The existence of this implies a generalization of the Heisenberg’s uncertainty principle, so as to no more admit a null uncertainty in position, thus modifying the algebra of quantum mechanics. This change in algebra suggests a re-evaluation of the results obtained in the usual situations of the quantum context. In this dissertation is discussed the problem of the potential delta d, under the context of a minimum length, and discussed the consequences and results related to this generalization.