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Title: Aspects of the inverse problem for the Toda chain

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.

Authors:
 [1]
  1. Institut de Mathématiques de Bourgogne, Université de Bourgogne, UMR 5584 du CNRS, Dijon (France)
Publication Date:
OSTI Identifier:
22250915
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CRYSTAL LATTICES; EQUATIONS; MATRICES

Citation Formats

Kozlowski, K. K., E-mail: karol.kozlowski@u-bourgogne.fr. Aspects of the inverse problem for the Toda chain. United States: N. p., 2013. Web. doi:10.1063/1.4848778.
Kozlowski, K. K., E-mail: karol.kozlowski@u-bourgogne.fr. Aspects of the inverse problem for the Toda chain. United States. https://doi.org/10.1063/1.4848778
Kozlowski, K. K., E-mail: karol.kozlowski@u-bourgogne.fr. 2013. "Aspects of the inverse problem for the Toda chain". United States. https://doi.org/10.1063/1.4848778.
@article{osti_22250915,
title = {Aspects of the inverse problem for the Toda chain},
author = {Kozlowski, K. K., E-mail: karol.kozlowski@u-bourgogne.fr},
abstractNote = {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.},
doi = {10.1063/1.4848778},
url = {https://www.osti.gov/biblio/22250915}, journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 12,
volume = 54,
place = {United States},
year = {Sun Dec 15 00:00:00 EST 2013},
month = {Sun Dec 15 00:00:00 EST 2013}
}