Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 3 (2007), 013, 14 pages      nlin.SI/0701040      http://dx.doi.org/10.3842/SIGMA.2007.013
Contribution to the Vadim Kuznetsov Memorial Issue

Relativistic Toda Chain with Boundary Interaction at Root of Unity

Nikolai Iorgov a, Vladimir Roubtsov b, c, Vitaly Shadura a and Yuri Tykhyy a
a) Bogolyubov Institute for Theoretical Physics, 14b Metrolohichna Str., Kyiv, 03143 Ukraine
b) LAREMA, Dépt. de Math. Université d'Angers, 2 bd. Lavoisier, 49045, Angers, France
c) ITEP, Moscow, 25 B. Cheremushkinskaja, 117259, Moscow, Russia

Received November 15, 2006, in final form January 03, 2007; Published online January 19, 2007

Abstract
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.

Key words: quantum integrable model with boundary interaction; quantum relativistic Toda chain.

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