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Classical and quantum mechanical systems of Toda-lattice type

II. Solutions of the classical flows

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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.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    Roe Goodman & Nolan R. Wallach

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  1. Roe Goodman
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  2. Nolan R. Wallach
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Additional information

Communicated by A. Jaffe

Research partially supported by NSF Grant MCS 83-01582

Research partially supported by NSF Grant MCS 79-03153

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Goodman, R., Wallach, N.R. Classical and quantum mechanical systems of Toda-lattice type. Commun.Math. Phys. 94, 177–217 (1984). https://doi.org/10.1007/BF01209301

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  • DOI: https://doi.org/10.1007/BF01209301

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