One-Dimensional Toda Molecule. I : General Solution
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概要
- 論文の詳細を見る
A mechanism is presented for producing explicitly the general solutions to the one-dimensional Toda molecule equations associated with the classical complex Lie algebras of rank N: sl(N+1,C), so(2N+1, C), sp(N, C), and so(2N, C). The method itself is applicable, however, to any semi-simple Lie algebra. A particular feature of our solutions is their description in terms of the "initial data", which is consistent with the fact that the one-dimensional Toda molecule equation is a Newtonian equation of motion. The solutions for the algebras associated with SU(2), SU(3) and Sp(2) are given explicitly.
- 理論物理学刊行会の論文
- 1983-04-25
著者
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MINAMI Masatsugu
Research Institute for Mathematical Sciences Kyoto University
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FARWELL Ruth
Blackett Laboratory, Imperial College
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Farwell Ruth
Blackett Laboratory Imperial College
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MINAMI Masatsugu
Research Institute for Mathematical Sciences, Kyoto University
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