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Quantum relativistic Toda chain at root of unity: invariant approach

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Czechoslovak Journal of Physics Aims and scope

Abstract

Recent results, concerning the quantum relativistic Toda chain at root of unity, are interpreted in this note from the point of view of invariant auxiliary linear problem. Such form of the linear problem arises in the three-dimensional integrable systems, and several results from the three dimensional models are applied to the relativistic Toda chain.

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References

  1. S. Pakuliak and S. Sergeev: Preprint nlin.SI/0101024, 2001; Preprint nlin.SI/0107062, 2001; Preprint nlin.SI/0107063, 2001.

  2. E.K. Sklyanin: inFunctional Bethe Ansatz in Integrable and Superintegrable Systems, (Ed. B. A. Kupershmidt), World Scientific, Singapore, 1990, p. 8; inQuantum Group and Quantum Integrable Systems, Nankai Lectures in Mathematical Physics (Ed. MoLin Ge), World Scientific, Singapore, 1992, p. 63; Progr. Theor. Suppl.118 (1995) 35.

    Google Scholar 

  3. V.V. Bazhanov and N.Yu. Reshetikhin: J. Phys. A: Math. Gen.28 (1995) 2217.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. S. Sergeev: J. Phys. A: Math. Gen.32 (1999) 5693.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. S. Sergeev: Notes of PDMI269 (2000) 292 (in Russian).

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This work was supported in part by the grant INTAS OPEN 00-00055. S.P.’s work was supported by the grants RFBR 00-02-16477 and grant for support of scientific schools RFBR 00-15-96557, S.S’s work was supported by the grant RFBR 01-01-00201.

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Pakuliak, S., Sergeev, S. Quantum relativistic Toda chain at root of unity: invariant approach. Czech J Phys 51, 1414–1419 (2001). https://doi.org/10.1023/A:1013398826160

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  • DOI: https://doi.org/10.1023/A:1013398826160

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