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Complexifications and real forms of Hamiltonian structures (2002)

Gerdjikov, V.S. ; Kyuldjiev, A. ; Marmo, G. ; [et al.]

Springer

The European physical journal 29 (2002), S. 177-181

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ISSN: 1434-6036

Keywords: PACS. 02.30.Ik Integrable systems – 02.40.Tt Complex manifolds – 45.20.Jj Lagrangian aaand Hamiltonian mechanics

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract: We consider generalizations of the standard Hamiltonian dynamics to complex dynamical variables and introduce the notions of real Hamiltonian form in analogy with the notion of real forms for a simple Lie algebra. Thus to each real Hamiltonian system we are able to relate several nonequivalent ones. On the example of the complex Toda chain we demonstrate how starting from a known integrable Hamiltonian system (e.g. the Toda chain) one can complexify it and then project onto different real forms.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1140/epjb/e2002-00281-y

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