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Integrable systems whose spectral curve is the graph of a function | | Kanehisa Takasaki
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15 Nov 2002 | | Subject: | Exactly Solvable and Integrable Systems; Mathematical Physics | nlin.SI hep-th math-ph math.MP | | Abstract: | For some integrable systems, such as the open Toda molecule, the spectral curve of the Lax representation becomes the graph $C = {(lambda,z) mid z = A(lambda)}$ of a function $A(lambda)$. Those integrable systems provide an interesting ``toy model’’ of separation of variables. Examples of this type of integrable systems are presented along with generalizations for which $A(lambda)$ lives on a cylinder, a torus or a Riemann surface of higher genus. | | Source: | arXiv, nlin.SI/0211021 | | Services: | Forum | Review | PDF | Favorites | |
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