Self-dual Hamiltonians as Deformations of Free Systems

Details Self-dual Hamiltonians as Deformations of Free Systems Self-dual Hamiltonians as Deformations of Free Systems

2001-04-29

arxiv.org/abs/hep-th/0104253v2

Theor.Math.Phys. 129 (2001) 1581-1585; Teor.Mat.Fiz. 129 (2001) 327-332

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, LaTeX (corrected misprints)

Scientific paper

We formulate the problem of finding self-dual Hamiltonians (associated with integrable systems) as deformations of free systems given on various symplectic manifolds and discuss several known explicit examples, including recently found double elliptic Hamiltonians. We consider as basic the notion of self-duality, while the duality in integrable systems (of the Toda/Calogero/Ruijsenaars type) comes as a derivative notion (degenerations of self-dual systems). This is a talk presented at the Workshop "Classical and Quantum Integrable Systems", Protvino, January, 2001.

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