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- W2001353916 abstract "The quantum separation of variables method consists in mapping the original Hilbert space where a spectral problem is formulated onto one where the spectral problem takes a simpler separated form. In order to realise such a program, one should construct the map explicitly and then show that it is unitary. In the present paper, we develop a technique which allows one to prove the unitarity of this map in the case of the quantum Toda chain. Our proof solely builds on objects and relations naturally arising in the framework of the so-called quantum inverse scattering method. Hence, with minor modifications, it should be readily transposable to other quantum integrable models solvable by the quantum separation of variables method. As such, it provides an important alternative to the proof of the map's unitarity based on the group theoretical interpretation of the quantum Toda chain, which is absent for more complex quantum integrable models." @default.
- W2001353916 created "2016-06-24" @default.
- W2001353916 creator A5024297659 @default.
- W2001353916 date "2014-08-29" @default.
- W2001353916 modified "2023-09-26" @default.
- W2001353916 title "Unitarity of the SoV Transform for the Toda Chain" @default.
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- W2001353916 doi "https://doi.org/10.1007/s00220-014-2134-6" @default.
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