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  • PACS. 02.30.Ik Integrable systems – 02.40.Tt Complex manifolds – 45.20.Jj Lagrangian aaand Hamiltonian mechanics  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 29 (2002), S. 177-181 
    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
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