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

• Grant number: 10/02213-3
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2011
• End date: January 31, 2012
• 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 by using mass-eigenstates. The introduction of flavor eigenstates play a fundamental role in understanding quantum oscillation phenomena. The study will be extended to localized light beams propagating through stratified dielectric. (AU)

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DE LEO, STEFANO; ROTELLI, PIETRO. Relative helicity phases in planar Dirac scattering. Physical Review A, v. 86, n. 3, SEP 17 2012. (10/02213-3)

DE LEO, STEFANO; ROTELLI, PIETRO. ANTIPARTICLES CREATION IN TUNNELING. International Journal of Modern Physics A, v. 28, n. 26, OCT 20 2013. (10/02213-3)

DE LEO, STEFANO. A study of transit times in Dirac tunneling. Journal of Physics A-Mathematical and Theoretical, v. 46, n. 15, APR 19 2013. (10/02213-3)

DE LEO, STEFANO; DUCATI, GISELE. Delay time in quaternionic quantum mechanics. Journal of Mathematical Physics, v. 53, n. 2, FEB 2012. (10/02213-3)

DE LEO, S.; ROTELLI, P.. Resonant laser tunnelling. EUROPEAN PHYSICAL JOURNAL D, v. 65, n. 3, p. 563-570, DEC 2011. (10/02213-3)

DE LEO, STEFANO; ROTELLI, PIETRO. Graphene tests of Klein phenomena. Journal of Physics A-Mathematical and Theoretical, v. 44, n. 47, NOV 25 2011. (10/02213-3)