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Titlebook: Dynamical Systems VII; Integrable Systems N V. I. Arnol’d,S. P. Novikov Book 1994 Springer-Verlag Berlin Heidelberg 1994 Hamiltonian System

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Helmut A. Schaeffer,Roland Langfeldstematic way. This scheme originates from the works of Kostant [1979a] and Adler [1979] where some special but very instructive examples were studied. Some years later a link was established between this scheme and the so-called classical .-matrix method (Faddeev [1984], Semenov-Tian-Shansky [1983])
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Die Heilkunde im 19. und 20. Jahrhundert an extension of geometrical scheme to quantum Toda lattices. About the same time (1978–1981), a powerful and sophisticated technique of the Quantum Inverse Scattering Method was created for the study of quantum integrable systems (see Faddeev [1980, 1984]). As was soon realized, it goes beyond the
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Die Heilkunde im 19. und 20. Jahrhundert85]). We consider a representation . of a Lie group G on a finite-dimensional complex vector space .. There is an induced action of . on the projective space . associated with .. We denote by . the orbit of this action passing through a point . ϵ .. It is now natural to ask when the symplectic struc
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https://doi.org/10.1007/978-3-662-06796-3Hamiltonian Systems; Hamiltonsche Systeme; Integrable Systems; Integrierbare Systeme; Lie Algebras; Lie A
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Die Heilkunde im 19. und 20. Jahrhunderted that the basic commutation relations of the Quantum Inverse Scattering Method are quadratic; they may be regarded as the quantization of quadratic Poisson bracket relations considered in Section 12 of the previous chapter.]
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Quantization of Open Toda Latticesed that the basic commutation relations of the Quantum Inverse Scattering Method are quadratic; they may be regarded as the quantization of quadratic Poisson bracket relations considered in Section 12 of the previous chapter.]
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