A new dynamical reflection algebra and related quantum integrable systems
J. Avan, E. Ragoucy
TL;DR
This paper introduces a novel dynamical reflection algebra, deriving its mathematical structures and constructing quantum integrable Hamiltonians with features akin to Ruijsenaars-Schneider models.
Contribution
It presents a new dynamical reflection algebra with unique properties and develops associated mathematical frameworks and integrable Hamiltonians.
Findings
Derived new Yang-Baxter equations and coactions
Constructed explicit quantum integrable Hamiltonians
Hamiltonians exhibit features similar to Ruijsenaars-Schneider models
Abstract
We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang-Baxter equations, coactions, fusions, and commuting traces are derived. Explicit examples are given and quantum integrable Hamiltonians are constructed. They exhibit features similar to the Ruijsenaars-Schneider Hamiltonians.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Quantum Mechanics and Non-Hermitian Physics