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• W2952395588 abstract "Using the representation theory of $frak{gl}(N,RR)$, we express the wave function of the $GL(N,RR)$ Toda chain, which two of us recently obtained by the Quantum Inverse Scattering Method, in terms of multiple integrals. The main tool is our generalization of the Gelfand-Zetlin method to the case of infinite-dimensional representations of $frak{gl}(N,RR)$. The interpretation of this generalized construction in terms of the coadjoint orbits is given and the connection with the Yangian $Y(frak{gl}(N))$ is discussed. We also give the hyperbolic Sutherland model eigenfunctions expressed in terms of integrals in the Gelfand-Zetlin representation. Using the example of the open Toda chain, we discuss the connection between the Quantum Inverse Scattering Method and Representation Theory." @default.
• W2952395588 created "2019-06-27" @default.
• W2952395588 creator A5034121004 @default.
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• W2952395588 date "2002-04-16" @default.
• W2952395588 modified "2023-09-27" @default.
• W2952395588 title "Representation Theory and the Quantum Inverse Scattering Method: The Open Toda Chain and the Hyperbolic Sutherland Model" @default.
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• W2952395588 hasPublicationYear "2002" @default.
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