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The Algebraic Integrability of the Quantum Toda Lattice and the Radon Transform

✍ Scribed by Kaoru Ikeda

Publisher
SP Birkhäuser Verlag Boston
Year
2008
Tongue
English
Weight
417 KB
Volume
15
Category
Article
ISSN
1069-5869

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📜 SIMILAR VOLUMES

On the Spectral Resolution of the Quantu
On the Spectral Resolution of the Quantum Toda Lattice
✍ Kaoru Ikeda 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 166 KB

In this paper we study the solutions of the equation det(\*&L) =0, where L is the Lax operator of the quantum Toda lattice. The solutions of the equation are determined by the eigenvectors of L, L9 9 =\*9 9 . In the classical case, there exists the canonical embedding of n-dimensional Toda lattice /

Integrability and algebraic structure of
Integrability and algebraic structure of the quantum Calogero-Moser model
✍ Miki Wadati; Kazuhiro Hikami; Hideaki Ujino 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 325 KB

For the quantum Calogero-Moser model, we present the following two results. First, it has a set of conserved operators which are involutive. This proves the integrability of the model. Second, the Lax operator gives a list of new operators (boost operators). The conserved operators and the boost ope