京都大学大学院 情報学研究科 数理工学専攻 応用数学講座 数理解析分野
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関西可積分系セミナー (2000年12月7日)

日時
2000年12月7日(木)16時-17時30分
場所
大阪大学基礎工学研究科数理科学ディスプレイ室 (J617)
Simon Ruijsenaars (Centre for Mathematics and Computer Science, Netherlands)
Reflectionless analytic difference operators II. Connection with nonlocal Toda solitons.

When equipped with a suitable time dependence, the difference operators and their reflectionless eigenfunctions from the first lecture can be tied in with a soliton evolution equation. This equation may be viewed as a continuous and nonlocal version of the Toda lattice. We present this relation in some detail. Towards the end of the lecture we also survey Hilbert space features of the difference operators with ‘spectral data’ corresponding to N-soliton solutions.