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Titlebook: Non-Linear Equations in Classical and Quantum Field Theory; Proceedings of a Sem N. Sanchez Conference proceedings 1985 Springer-Verlag Ber

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Quantum integrability and classical integrability,Quantum integrability and classical integragility are studied from an algebraic viewpoint. In particular we discuss the problem of constructing a quantum integragle system when a classically integragle system is given.
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Multimonopoles and the Riemann-Hilbert problem,I give an overview on generating self-dual multimonopole solutions applying soliton theoretic methods, and point out other possible uses of these ideas.
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Yang-Baxter charge algebras in integrable classical and quantum field theorie,Lecture given by one of us (H.E.) in the seminar series on “Non-linear Equations in Field Theory”, Paris VI and Meudon (France), September 1983-May 1984.
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The quantum Toda chain,The exact equations for the spectrum of the finite and infinite quantum Toda chains are derived. The method used does not need the existence of the pseudovacuum (reference) state and provides thus an alter native to the Bethe ansatz method. The results obtained are in good agreement with those of B. Sutherland and M. Gutzwiller.
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Products of random matrices and one dimensional disordered systems,Several examples of disordered one dimensional models are discussed : a spin glass chain, an Ising chain in a random field, the diffusion on a random chain, a Schrödinger equation with a random potential. For each problem, one can develop analytic methods to expand the Lyapounov exponent.
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Exact disorder solutions,lts can be obtained through different analytic continuation of these calculations. It would be also useful to use more sophisticated Ansatze as well as to consider the dynamic poperties of systems with competing interactions.
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978-3-540-15213-2Springer-Verlag Berlin Heidelberg 1985
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Non-Linear Equations in Classical and Quantum Field Theory978-3-540-39352-8Series ISSN 0075-8450 Series E-ISSN 1616-6361
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