Synopsis
The Projection Method of Olshanetsky and Perelomov.- Classical Integrability of the Calogero-Moser Systems.- Solution of a Quantum Mechanical N-Body Problem.- Algebraic Approach to x 2 + ?/x 2 Interactions.- Some Hamiltonian Mechanics.- The Classical Non-Periodic Toda Lattice.- r-Matrices and Yang Baxter Equations.- Integrable Systems and gl(?).- Infinite Dimensional Toda Systems.- Integrable Field Theories from Poisson Algebras.- Generalized Garnier Systems and Membranes.- Differential Lax Operators.- First Order Differential Matrix Lax Operators and Drinfeld-Sokolov Reduction.- Zero Curvature Conditions on W ?, Trigonometrical and Universal Enveloping Algebras.- Spectral Transform and Solitons.- Higher Dimensional ?-Functions.
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