On factorized Lax pairs for classical many-body integrable systems
نویسندگان
چکیده
منابع مشابه
Integrable Many - Body Systems and Gauge Theories
The review studies connections between integrable many-body systems and gauge theories. It is shown how the degrees of freedom in integrable systems are related with topological degrees of freedom in gauge theories. The relations between families of integrable systems and N = 2 supersymmetric gauge theories are described. It is explained that the degrees of freedom in the many-body systems can ...
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It is shown that the Lax pair equation L̇ = [L,A] can be given a neat tensorial interpretation for finite-dimensional quadratic Hamiltonians. The Lax matrices L and A are shown to arise from third rank tensors on the configuration space. The second Lax matrix A is related to a connection which characterizes the Hamiltonian system. The Toda lattice system is used to motivate the definition of the...
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ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 2019
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x19300024