Browsing by Subject "Integrability"
Now showing items 1-3 of 3
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The Ads/CFT spectrum via Integrability-based algorithms
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2017)The spectral problem of the AdS/CFT correspondence is believed to be integrable in the planar limit. The Quantum Spectral Curve captures the underlying mathematical structure in a relatively simple Riemann-Hilbert problem. ... -
Water waves and Integrability
(Royal Society, 2007)The Euler?s equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymtotic expansion of the Euler?s equations is taken (to a certain order of smallness of the scale parameters), ... -
Yang-Baxter integrable open quantum systems
(Trinity College Dublin. School of Mathematics. Discipline of Pure & Applied Mathematics, 2023)The main result of this thesis is the use of the boost operator to develop a systematic method to construct new integrable spin chains with nearest-neighbour interaction and characterized by an R-matrix of non-difference ...