Exact solution of the relativistic quantum Toda chain

TL;DR

This paper provides an exact solution for the relativistic quantum Toda chain using a generalized algebraic Bethe Ansatz, enabling the explicit construction of its spectrum and eigenstates.

Contribution

It introduces a novel approach employing local gauge transformations to solve the relativistic quantum Toda chain exactly.

Findings

Exact spectrum and eigenstates constructed

Method applicable to similar integrable models

Advances understanding of relativistic quantum integrable systems

Abstract

The relativistic quantum Toda chain model is studied with the generalized algebraic Bethe Ansatz method. By employing a set of local gauge transformations, proper local vacuum states can be obtained for this model. The exact spectrum and eigenstates of the model are thus constructed simultaneously.