TL;DR
This paper explores the boundary conditions that are compatible with classical and quantum integrability, aiming to clarify the foundational aspects of integrable systems with boundaries.
Contribution
It provides a detailed analysis of boundary conditions compatible with both classical and quantum integrability, clarifying foundational questions in the field.
Findings
Identifies boundary conditions compatible with classical integrability
Determines boundary conditions compatible with quantum integrability
Clarifies the relationship between boundary conditions and integrability
Abstract
The purpose of this talk is to address a couple of simple-sounding questions: what boundary conditions are compatible with (a) Classical integrability? (b) Quantum integrability?
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Quantum chaos and dynamical systems