The Toda$_2$ chain
O. Babelon, K. K. Kozlowski, V. Pasquier

TL;DR
This paper demonstrates that discretizing the Virasoro algebra naturally leads to a quantum integrable model equivalent to the Toda chain in its second Hamiltonian structure.
Contribution
It introduces a novel discretization of the Virasoro algebra that results in a quantum Toda chain model.
Findings
Establishes a connection between Virasoro algebra discretization and quantum Toda chain.
Provides a new approach to constructing quantum integrable models from algebraic structures.
Shows that the discretized Virasoro algebra reproduces the Toda chain dynamics.
Abstract
We show that a natural discretisation of Virasoro algebra yields a quantum integrable model which is the Toda chain in the second Hamiltonian structure.
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