Integrable models in Statistical Mechanics: Theory and Applications

• Grant number: 98/14625-0
• Support Opportunities: Research Projects - Thematic Grants
• Start date: February 01, 1999
• End date: July 31, 2003
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Marcio Jose Martins
• Grantee: Marcio Jose Martins
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated scholarship(s): 02/10399-3 - Quantum inverse scattering method: theory and applications, BP.DR; 00/12706-5 - Exactly solvable models in statistical mechanics, BP.MS

Abstract

In this project we will investigate two-dimensional exactly solvable models in Statistical Physics. We intend to develop new formulations of the quantum inverse scattering method in order to solve these models from a unified point of view. We will analise the applications of these sistems to describe the statistical properties of the Lorentz lattice gas as well as their relationship to conformal invariant theories. We shall also study more specific problems in this field such as: new solutions for the T - Q's Baxter relation, particle-antiparticle scatterinf via Braid-Monoid algebra and the off-schell Bethe ansatz formulation. (AU)