Use of integral transforms and Gaussian convolution functions in solving differential equations in relativistic quantum mechanics

• Grant number: 07/01038-0
• Support Opportunities: Scholarships abroad - Research
• Start date: November 20, 2007
• End date: February 19, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Stefano de Leo
• Grantee: Stefano de Leo
• Host Investigator: Pietro Rotelli
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: Università del Salento, Italy

Abstract

We aim to study the behavior of relativistic wave packets in diffusion, tunneling and oscillation phenomena. We also aim to study relativistic bound states in scalar and fermionic field models. (AU)