ScholarLens Back to search
1976•Progress of Theoretical Physics SupplementOpen access

Toda Lattice as an Integrable System and the Uniqueness of Toda's Potential

K. Sawada, Takeyasu Kotera

Open full text 12 citations

Abstract

Treating the integral of Hénon's type, it is shown that Toda's potential is the only possible one to make the system integrable provided the assumption of the nearest neighbour interaction. This method can be applied to the one-dimensional pairing potential system, and the condition to make the system integrable can be written down explicitly.

Open-access reader

About this research paper

What this paper is about

Treating the integral of Hénon's type, it is shown that Toda's potential is the only possible one to make the system integrable provided the assumption of the nearest neighbour interaction. This method can be applied to the one-dimensional pairing potential system, and the condition to make the system integrable can be written down explicitly.

Why it matters

OpenAlex reports 12 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Treating the integral of Hénon's type, it is shown that Toda's potential is the only possible one to make the system integrable provided the assumption of the nearest neighbour interaction. This method can be applied to the one-dimensional pairing potential system, and the condition to make the system integrable can be written down explicitly.

Key concepts: Toda lattice, Integrable system, Uniqueness, Pure mathematics, Lattice (music), Pairing, Mathematical physics, Mathematics

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Toda Lattice as an Integrable System and the Uniqueness of Toda's Potential — Research Paper | ScholarLens