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- W2030831519 abstract "We propose a mechanical (Hamiltonian) interpretation of the so-called spectrality property introduced by Sklyanin and Kuznetsov in the context of Bäcklund transformations (BTs) for finite-dimensional integrable systems. This property turns out to be deeply connected with the Hamilton-Jacobi separation of variables and can lead to the explicit integration of the corresponding model using the BTs. We show that once such a construction is given, we can interpret the Baxter Q-operator defining the quantum BTs as the Green’s function or the propagator of the time-dependent Schrödinger equation for an interpolating Hamiltonian." @default.
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- W2030831519 date "2012-08-01" @default.
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- W2030831519 title "Quantum bäcklund transformations: Some ideas and examples" @default.
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- W2030831519 doi "https://doi.org/10.1007/s11232-012-0104-8" @default.
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