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The quantum Toda lattice

โœ Scribed by M. Bruschi; D. Levi; M.A. Olshanetsky; A.M. Perelomov; O. Ragnisco

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
288 KB
Volume
88
Category
Article
ISSN
0375-9601

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๐Ÿ“œ SIMILAR VOLUMES

Excited States Configurations of the Qua
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โœ A. Matsuyama ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 378 KB

Excited states configurations of the quantum Toda lattice are studied by the direct diagonalization of the Hamiltonian. The most probable configurations of one-hole and one-particle excitations are shown to be similar to the profiles of classical phonon and soliton excitations, respectively. One-hol

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On the Spectral Resolution of the Quantum Toda Lattice
โœ Kaoru Ikeda ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 /

The quantum Toda chain
The quantum Toda chain
โœ E.K. Sklyanin ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 56 KB
The Toda lattice is super-integrable
The Toda lattice is super-integrable
โœ Maria A. Agrotis; Pantelis A. Damianou; Christodoulos Sophocleous ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB

We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N ร€ 1 independent constants of motion, where N is the number of degrees of freedom. The main ingredient of the proof is the use of some special action-angle coordinates introduced b