Exactly solvable models in statistical mechanics

• Grant number: 00/12706-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2001
• End date: February 28, 2003
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Marcio Jose Martins
• Grantee: Wellington Galléas
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 98/14625-0 - Integrable models in Statistical Mechanics: Theory and Applications, AP.TEM

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 analyze the applications of these systems 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 scattering via Braid-Monoid algebra and the off-schell Bethe ansatz formulation. (AU)