Separability of the Toda Lattice
نویسندگان
چکیده
منابع مشابه
The Toda Lattice
This motivates the following definition. Definition 1.2. A conserved quantity in a Hamiltonian system is a smooth function f ∈ C∞(M) such that {f,H} = 0. Remark 1.3. If you’re familiar with the Lagrangian model of classical mechanics, you can derive the above setup from a Lagrangian field theory on the real line R, i.e. from classical Lagrangian mechanics. There’s a classical procedure for doin...
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Many important conservative systems have a non canonical Hamiltonian formulation in terms of Lie-Poisson brackets. For integrable systems, this is usually the first of two or more compatible brackets. With few notable exceptions, such as the Euler, Poisson-Vlasov, KdV, or sine-Gordon equations, for example, for infinite dimensional systems this Lie-Poisson bracket formulation is mostly formal. ...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2000
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(99)00212-8