# Aspects of the inverse problem for the Toda chain

Source: [Aspects of the inverse problem for the Toda chain](<https://www.sota2.com/research/paper/68fa30e71e209131ce879d44>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T18:31:34.410Z

Authors: K.K. Kozlowski

Published: 2013-07-15T18:49:47.000Z

## Abstract

We generalize Babelon's approach to equations in dual variables so as to be able to treat new types of operators which we build out of the sub-constituents of the model's monodromy matrix. Further, we also apply Sklyanin's recent monodromy matrix identities so as to obtain equations in dual variables for yet other operators. The schemes discussed in this paper appear to be universal and thus, in principle, applicable to many models solvable through the quantum separation of variables.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1307.4052>)

[PDF](<https://arxiv.org/pdf/1307.4052.pdf>)