Entropia da Informação para Sistemas de Dois Corpos

Abstract

In this dissertation we present a detailed and analytical study of the information entropy using two formalisms. These formalisms are: Shannon entropy and Tsallis entropy. Shannon entropy obeys the principle of additivity, however the Tsallis entropy is nonadditive. These entropies are applied to atomic models of Mochinsky and positronium, which are two-body systems. To determine the entropy, we utilize the wave functions and probability densities for both the atomic models. The Shannon entropy has a logarithmic dependence, while the Tsallis entropy has a dependency on the entropic factor q , known as the Tsallis entropic factor. In our work, entropies were calculated in the position space and also in the momentum space and also using the concept of the principle of Heisenberg inequality adapted for the information entropy. For the Shannon entropy, we have the Bialynici, Birula, and Mycielski uncertainty principle, and Tsallis entropy we use pseudo-uncertainty. Finally we demonstrate graphically the behavior of the entropies of both the formalisms.