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Exactly solvable models of statistical mechanics in one dimension

Integrable systems of correlated electrons with an underlying quantum algebraic or Lie superalgebraic structure. The Quantum inverse scattering method, Yang-Baxter equation, the algebraic Bethe ansatz solution. Extensions of the theory to include impurities, extra free parameters and generalized boundary conditions. Ladder models, BCS systems and Bose-Einstein Condensates. Quantum physics, gravitation and cosmology

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