Quantum inverse scattering method and applications

• Grant number: 06/01656-3
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2006
• End date: July 31, 2008
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Antonio Lima Santos
• Grantee: Wellington Galléas
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

In this project we aim to study the problems associated with the formulation of the Quantum Inverse Scattering Method for twisted algebras. More specifically we intend to present a unified formulation of the Quantum Inverse Scattering Method for these integrable systems, to construct Gaudin magnets and solutions of the Knizhnik-Zamolodchikov equation associated to those systems. Besides that, we also aim to study the problem of the construction of integrable systems with open boundary conditions.