Bispectrality for the quantum open Toda chain
Evgeny Sklyanin
TL;DR
This paper introduces a new approach to constructing dual variables for the quantum open Toda chain using the 2x2 Lax matrix and quadratic R-matrix algebra, offering an alternative to previous methods.
Contribution
It presents a novel method for dual variable construction in quantum Toda chains based on algebraic structures, differing from Babelon's approach.
Findings
Provides an explicit construction of dual variables
Demonstrates the method's consistency with known results
Offers potential for broader applications in integrable systems
Abstract
An alternative to Babelon's (2003) construction of dual variables for the quantum open Toda chain is proposed that is based on the 2x2 Lax matrix and the corresponding quadratic R-matrix algebra.
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