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Titlebook: Lectures on Integrable Systems; Jens Hoppe Book 1992 Springer-Verlag Berlin Heidelberg 1992 Dynamische Systeme.Hamiltonian.Hamiltonian mec

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Solution of a Quantum Mechanical ,-Body Problem,total momentum operator . commutes with (3.1) (due to the potential . depending only on the differences of the particle coordinates) the eigenfunctions ψ of (3.1) may be chosen to be also eigenfunctions of .; let us restrict ourselves to functions satisfying
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First Order Differential Matrix Lax Operators and Drinfeld-Sokolov Reduction,ble formulation of consistent Lax equations, and the formulation of the corresponding conserved quantities, pseudo-differential operators were needed, in particular their decomposition into positive (= ordinary differential) and negative part, and the grading given by the power of δ..
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Spectral Transform and Solitons,mportant role since then. Curiously, it uses the formulation (and abstract solution) of a problem known from quantum mechanics, namely that of solving . for given .(.), which is supposed to be a smooth real function and to go to zero (sufficiently fast) as . → ± ∞.
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