Nikolai Iorgov, Vladimir Roubtsov, Vitaly Shadura, Yuri Tykhyy, “Relativistic Toda Chain with Boundary Interaction at Root of Unity”, SIGMA, 2007, Volume 3,013, 14 pp.

This article is cited in 1 paper

Relativistic Toda Chain with Boundary Interaction at Root of Unity

Nikolai Iorgov^a, Vladimir Roubtsov^bc, Vitaly Shadura^a, Yuri Tykhyy^a

^a Bogolyubov Institute for Theoretical Physics, 14b Metrolohichna Str., Kyiv, 03143 Ukraine
^b ITEP, Moscow, 25 B. Cheremushkinskaja, 117259, Moscow, Russia
^c LAREMA, Dépt. de Math. Université d'Angers, 2 bd. Lavoisier, 49045, Angers, France

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.

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

MSC: 81R12; 81R50

Received: November 15, 2006; in final form January 3, 2007; Published online January 19, 2007

Language: English

DOI: 10.3842/SIGMA.2007.013