The wave packet formalism in the study of differential equations and applications in relativistic quantum mechanics

• Grant number: 06/02187-7
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2006
• End date: October 31, 2007
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Stefano de Leo
• Grantee: Stefano de Leo
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We aim to study the behavior of relativistic wave packets in tunnelling, diffusion and oscillation quantum phenomena. In particular. we would like to discuss the Klein-Gordon and Dirac equation in presence of "electrostatic" potentials. The preliminary discussion will be performed bu using mass-eigenstates. The introduction of flavor eigenstates play a fundamental role in understanding quantum oscillation phenomena. (AU)