Lax matrices for a 1-parameter subfamily of van Diejen--Toda chains
B.G. Pusztai
TL;DR
This paper constructs Lax matrices for a specific one-parameter subfamily of van Diejen--Toda chains, providing a new algebraic solution method for these relativistic open Toda chains with boundary interactions.
Contribution
It introduces the first analysis of this particular 1-parameter subfamily of van Diejen--Toda chains and develops a Lax representation and algebraic solution algorithm.
Findings
Lax matrices constructed for the subfamily
Algebraic solution algorithm developed
New analysis of boundary interactions in Toda chains
Abstract
In this paper, we construct Lax matrices for certain relativistic open Toda chains endowed with a one-sided 1-parameter boundary interaction. Built upon the Lax representation of the dynamics, an algebraic solution algorithm is also exhibited. To our best knowledge, this particular 1-parameter subfamily of van Diejen--Toda chains has not been analyzed in earlier literature.
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