Посилання:Relativistic Toda Chain with Boundary Interaction at Root of Unity / N. Iorgov, V. Roubtsov, V. Shadura, Y. Tykhyy // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 20 назв. — англ.
Підтримка:This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The research presented here is supported by the French–Ukrainian project “Dnipro” and the Ukrainian State Foundation for Fundamental Research. The work of V.S. was also partially supported by the SCOPES-project IB7320-110848 of Swiss NSF. V.R. warmly acknowledged a partial support of grants RFBR 06-02-17382 and NSh-8065.2006.2 as well as the ANR-2005 (“Geometry and Integrability in Mathematical Physics”) support.
We apply the Separation of Variables method to obtain eigenvectors of commuting Hamiltonians in the quantum relativistic Toda chain at a root of unity with boundary interaction.