SISTEMAS QUÂNTICOS DISCRETOS INCLUINDO SIMETRIA SL(2;C) E APLICAÇÕES EM RESSONÂNCIA MAGNÉTICA NUCLEAR

Abstract

This work aims to investigating the dynamics of spin-1=2 in the context of non-Hermitian quantum systems. It is proposed a heuristic phenomenological model embedding SL(2;C) dynamical symmetry, whose the effective non-Hermitian Hamiltonian operator of a single particle is employed to mimic the damped dynamics of an ensemble of spin-1=2. The theorical model is built by the decay on net magnetization analysis in an experiment made up of an ensemble of 31P nuclei (spin I = 1=2) of H3PO4 sample by applying Nuclear Magnetic Resonance technique. It is verified that the experimental magnetizations emphasize the validity of the theoretical model.