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

• Grant number: 10/02216-2
• Support Opportunities: Scholarships abroad - Research
• Effective date (Start): August 01, 2010
• Effective date (End): January 31, 2011
• 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
• Research place: Università del Salento, Italy

Abstract

1 - Review of our previous work on tunneling with view to an extension to two dimensional potentials. 2 - Analogy between optics and quantum mechanics and in particular laser passage through various dielectric stratified structures. 3 - Non quantized potentials in field theory. (AU)

Scientific publications

(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; DUCATI, GISELE; LEONARDI, VINICIUS; PEREIRA, KENIA. A closed formula for the barrier transmission coefficient in quaternionic quantum mechanics. Journal of Mathematical Physics, v. 51, n. 11, NOV 2010. (10/02216-2)

DE LEO, STEFANO; LEONARDI, VINICIUS. Relativistic tunneling through opaque barriers. Physical Review A, v. 83, n. 2, p. 022111, 2011. (10/02216-2)

DE LEO, STEFANO; ROTELLI, PIETRO. Wave and particle limit for multiple barrier tunneling. Journal of Physics A-Mathematical and Theoretical, v. 44, n. 43, OCT 28 2011. (10/02216-2)