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- W2017261221 abstract "An isospectral transform of the Schrödinger operator is considered as an evolutional problem. For a transform defined by the McKean–Trubowitz flows associated evolutional equations are derived. It is shown that for one-level and two-level flows these equations can be split into integrable Liouville equations. A relationship between the Liouville equations and the Darboux transforms is discussed; this analysis suggests that the evolutional equations can be split into the Liouville equations in the general case. A Hamiltonian formulation of the isospectral transform defined by the McKean–Trubowitz flows is presented. It is shown that this transform is performed by a canonical change of variables, which is related to the Darboux transform." @default.
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- W2017261221 date "1999-04-01" @default.
- W2017261221 modified "2023-09-27" @default.
- W2017261221 title "Isospectral problem for Schrödinger operator: Evolutional viewpoint" @default.
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- W2017261221 doi "https://doi.org/10.1063/1.532844" @default.
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