Quantization and problems of the quantum theory of fields

• Grant number: 07/03726-1
• Support Opportunities: Research Projects - Thematic Grants
• Start date: May 01, 2008
• End date: April 30, 2012
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Dmitri Maximovitch Guitman
• Grantee: Dmitri Maximovitch Guitman
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Pesquisadores principais: Dmitry Vasilevich
• Associated researchers: Damião Pedro Meira Filho ; Dmitry Vasilevich ; Mário César Baldiotti ; Pavel Moshin ; Rodrigo Fresneda ; Tiago Carlos Adorno de Freitas ; Vladislav Kupriyanov
• Associated research grant(s): 11/51867-9 - Anatoly Efimovich Shabad | PN Lebedev Physical Institute - Rússia, AV.EXT; 10/18191-9 - Quantum field theory and noncommutative geometry, AV.EXT; 10/16281-0 - Semi-classical massive gravity in three dimensions, AV.EXT
• Associated scholarship(s): 11/50309-2 - Collective neutrino oscillationsin various external fields., BP.PD; 10/15698-5 - Coherent states and semiclassical description of quantum dissipative systems, spinning systems, and quantum relativistic particles., BP.PD; 10/14823-0 - The Quantum Analysis of the Sinchronton Radiation Angular Distributions, BP.DR; 10/07096-5 - Aspects of Gravitation in three dimensions, BP.PD; 08/06041-2 - Quantum Field Theory with spatial heterogeneities, BP.DR

Abstract

The present project encompasses different areas of research on quantum mechanics and quantum field theory, from the general problem of quantization, as the superfield quantization and the quantization of pseudo-classical models and non-Lagrangian systems, to the more subtle features of these theories, like the problem of self-adjoint extensions in quantum mechanics and the problem of borders in quantum field theory. There are also modern applications of the quantum theory, like strong backgrounds and theories on non-commutative spacetimes and two and four level systems in quantum computation. (AU)