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Titlebook: Dynamical Problems in Soliton Systems; Proceedings of the S Shozo Takeno Conference proceedings 1985 Springer-Verlag Berlin Heidelberg 1985

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樓主: HEM
51#
發(fā)表于 2025-3-30 11:46:28 | 只看該作者
52#
發(fā)表于 2025-3-30 13:13:05 | 只看該作者
https://doi.org/10.1007/978-3-662-13416-0hod. It provides not only a powerful method for studying completely integrable quantum systems, but also a unified viewpoint on the structure of solvable models in quantum field theory and statistical mechanics.
53#
發(fā)表于 2025-3-30 20:10:11 | 只看該作者
https://doi.org/10.1007/978-3-662-13416-0s of freedom (infinity). More precisely, one associates in many theories a local transition matrix L.(λ) and the monodromy operator ., the trace of which is the transfer matrix t(λ). In an integrable theory T(λ) verifies the Yang-Baxter algebra.
54#
發(fā)表于 2025-3-30 23:09:37 | 只看該作者
Yang-Baxter Algebras and Integrable Models in Field Theory and Statistical Mechanicss of freedom (infinity). More precisely, one associates in many theories a local transition matrix L.(λ) and the monodromy operator ., the trace of which is the transfer matrix t(λ). In an integrable theory T(λ) verifies the Yang-Baxter algebra.
55#
發(fā)表于 2025-3-31 01:45:46 | 只看該作者
A New Approach to Completely Integrable Partial Differential Equations by Means of the Singularity Aype if its general solution has no movable singularities other than poles. Moreover they presented an explicit algorithm to test whether a given ODE satisfies certain necessary conditions for it to be of Painlevé type [1,2].
56#
發(fā)表于 2025-3-31 08:16:14 | 只看該作者
57#
發(fā)表于 2025-3-31 11:24:40 | 只看該作者
https://doi.org/10.1007/978-3-662-13416-0 equations which arose originally as a description of long waves on a shallow perfect fluid, while the initial value problem is equivalent to the open problem of finding the potential U(X,Y,T) in the Hamiltonian H., given the asymptotics of its orbits.
58#
發(fā)表于 2025-3-31 14:25:34 | 只看該作者
https://doi.org/10.1007/978-3-662-13416-0f phase space, a complete integration can be effected by the identification of as many involutive integrals as there are degrees of freedom (N). For integrable Hamiltonian systems the flow is confined to N-dimensional tori embedded in the 2N-dimensional phase space.
59#
發(fā)表于 2025-3-31 19:16:51 | 只看該作者
Ebene Schallwellen an Grenzfl?chenfind that the eigenstates of the quantum three wave interaction model can be derived by the Bethe Ansatz method [5]. We treat the thermodynamics in the case without the bound states in the eigenstates, as some difficulties occur with the existence of the bound states.
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