Generalized Toda Mechanics Associated with Classical Lie Algebras Dr

  • In this paper, we construct the Lax pair of classical Lie algebra Dr according to the characteristic of its root system, and get a family of integrable generalizations of Toda mechanics (labeled by a pair of ordered integers (m,n), m,n denote the order of positive and negative roots respectively). We aiso provide the explicit equations of motion, the Hamiltonian and the Poission brackets corresponding to the case of m,n≤3.
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LIU Wang-Yun, YANG Zhan-Ying and ZHAO Liu. Generalized Toda Mechanics Associated with Classical Lie Algebras Dr[J]. Chinese Physics C, 2004, 28(4): 359-364.
LIU Wang-Yun, YANG Zhan-Ying and ZHAO Liu. Generalized Toda Mechanics Associated with Classical Lie Algebras Dr[J]. Chinese Physics C, 2004, 28(4): 359-364. shu
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Received: 2003-06-25
Revised: 1900-01-01
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Generalized Toda Mechanics Associated with Classical Lie Algebras Dr

    Corresponding author: LIU Wang-Yun,
  • Institute of Modern Physics,Northwest University,Xi'an 710069,Chain

Abstract: In this paper, we construct the Lax pair of classical Lie algebra Dr according to the characteristic of its root system, and get a family of integrable generalizations of Toda mechanics (labeled by a pair of ordered integers (m,n), m,n denote the order of positive and negative roots respectively). We aiso provide the explicit equations of motion, the Hamiltonian and the Poission brackets corresponding to the case of m,n≤3.

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