IntroductionIn classical mechanics, we study the evolution of a given system in configuration space. The properties of this space are described by Euclidean, projective, Riemannian, pseudo and sub-Riemannian geometries. In Hamiltonian mechanics, we have a phase space and use symplectic, Poisson, and contact geometries. To solve the equations of motion, we also use algebraic, differential, and s...
IntroductionThe course intends to provide an introduction to the theory of integrable lattice models. Basic examples are the two-dimensional Ising model in a zero magnetic field, the six-vertex model, as well as related two-dimensional models and spin chains.It is planned to explain with simple model examples the concept of matrix transfer, duality between high and low temperatures, the concept...
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