Methods of harmonic analysis and of generalized regular representation for poincare group in various dimensions.

• Grant number: 98/06729-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: October 01, 1998
• End date: September 30, 2000
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Alexei Leonidovich Shelepin
• Grantee: Alexei Leonidovich Shelepin
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 97/07134-8 - Quantization problems and QFT in strong fields, AP.TEM

Abstract

Methods of harmonic analysis and of generalized regular representation for Poincaré group in various dimensions. Relativistic wave equations for higher and fractional spins. Coherent states of SU(N) and SU(N,1) groups and their application to classical description of isospin and to isospin path integral quantization. (AU)