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Communications in Mathematical Physics

, Volume 94, Issue 2, pp 177–217 | Cite as

Classical and quantum mechanical systems of Toda-lattice type

II. Solutions of the classical flows
  • Roe Goodman
  • Nolan R. Wallach
Article

Abstract

Solutions to the classical periodic and non-periodic Toda lattice type Hamiltonian systems are expressed in terms of an Iwasawa-type factorization of a “large” Lie group. The scattering of these systems is determined in the non-periodic case. For the generalized periodic Toda lattices a generalization of Kostant's formula is obtained using standard representations of affine Lie groups.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Mechanical System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Roe Goodman
    • 1
  • Nolan R. Wallach
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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