• In physics, the Gaudin model, sometimes known as the quantum Gaudin model, is a model, or a large class of models, in statistical mechanics first described...
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  • physics, the Garnier integrable system, also known as the classical Gaudin model is a classical mechanical system discovered by René Garnier in 1919 by...
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  • statistical lattice models 8-vertex model Gaudin model Ising model in 1- and 2-dimensions Ice-type model of Lieb Quantum Heisenberg model Hitchin system Pentagram...
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  • characterize the spectrum of the Gaudin model. Specifically, for a g {\displaystyle {\mathfrak {g}}} -Gaudin model, and defining L g {\displaystyle ^{L}{\mathfrak...
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  • The quantum Heisenberg model, developed by Werner Heisenberg, is a statistical mechanical model used in the study of critical points and phase transitions...
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  • for the full set of the quantum commuting conservation laws for the Gaudin model, discovering the following theorem. Consider det ( ∂ ∂ z − L ( z ) )...
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  • defining spectral curves. (The Garnier system is the classical limit of the Gaudin model. In turn, the Schlesinger equations are the classical limit of the...
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  • Thumbnail for Germán Sierra
    and another set of exactly solvable models called the Gaudin magnets, collectively known as Richardson-Gaudin models. Several subsequent applications involved...
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  • Spin chain (category Spin models)
    Ludwig Faddeev. Quantum Heisenberg model Inozemtsev model Haldane–Shastry model Quantum Gaudin model Lattice model (physics) Exactly solvable Heisenberg...
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  • is connected to solutions of Painlevé differential equations and the Gaudin model. The Glaisher–Kinkelin constant A can be defined via the following limit:...
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  • Kontorova (1939) in their study of crystal dislocations known as the Frenkel–Kontorova model. This equation attracted a lot of attention in the 1970s due to the presence...
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  • Michel Gaudin (2 December 1931 – 4 August 2023) was a French physicist, known for the Gaudin model, in which a central spin is coupled to many surrounding...
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  • Thumbnail for Korteweg–De Vries equation
    Korteweg–De Vries equation (category Exactly solvable models)
    is a partial differential equation (PDE) which serves as a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical...
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  • Examples Quantum Heisenberg model Gaudin model Theory Algebraic Bethe ansatz Quantum inverse scattering method Yang–Baxter equation...
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    master theories are four-dimensional Chern–Simons theory and the affine Gaudin model. The moduli space of Yang–Mills equations over a compact Riemann surface...
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  • Infinite-dimensional Chern–Simons theory Integrable system Classical Gaudin model Anti-self-dual Yang–Mills equations nLab page Nekrasov, Nikita (November...
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  • Thumbnail for Chiral model
    In nuclear physics, the chiral model, introduced by Feza Gürsey in 1960, is a phenomenological model describing effective interactions of mesons in the...
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  • commuting operators in quantum integrable spin systems, such as the Gaudin model, using the Bethe ansatz method. A further application is to the solution...
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  • Bethe ansatz (category Exactly solvable models)
    impurity model Gaudin model XXX and XXZ Heisenberg spin chain for arbitrary spin s {\displaystyle s} Hubbard model Kondo model Lieb–Liniger model Six-vertex...
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  • Quantum inverse scattering method (category Exactly solvable models)
    closely related algebraic Bethe ansatz, is a method for solving integrable models in 1+1 dimensions, introduced by Leon Takhtajan and L. D. Faddeev in 1979...
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  • Thumbnail for Inverse scattering transform
    Inverse scattering transform (category Exactly solvable models)
    Examples Quantum Heisenberg model Gaudin model Theory Algebraic Bethe ansatz Quantum inverse scattering method Yang–Baxter equation...
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    the Bruno-Gaudin "wave" model or the suspended tube model. Removing or hiding exposed pipes and electrical cables, notably with the Bruno-Gaudin light fixture...
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  • Thumbnail for Jean-Claude Gaudin
    Jean-Claude Gaudin (French pronunciation: [ʒɑ̃ klod ɡodɛ̃] ; 8 October 1939 – 20 May 2024) was a French politician for The Republicans. He served as the...
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  • Feigin, Boris; Frenkel, Edward; Reshetikhin, Nikolai (3 Apr 1994). "Gaudin Model, Bethe Ansatz and Critical Level". Commun. Math. Phys. 166: 27–62. arXiv:hep-th/9402022...
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  • Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model". SIGMA. 5: 110. arXiv:0908.4064. Bibcode:2009SIGMA...5..110R. doi:10...
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  • separation of variables for the s l ( 2 ) {\displaystyle {\mathfrak {sl}}(2)} Gaudin model. Representation theory of affine Lie algebra and quantum groups Braid...
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    laundresses and artisans". Between 1884 and 1889, French laundress Carmen Gaudin modeled for Lautrec for some 15 paintings. In the late 1880s, Lautrec began...
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  • Thumbnail for Alexander Varchenko
    Varchenko categorified this fact and showed that the Bethe algebra of the Gaudin model on such a space of invariants is isomorphic to the algebra of functions...
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    (eds.). Centrifuges in Soil Mechanics. Balkema. pp. 199–202. Garnier, J.; Gaudin, C.; Springman, S.M.; Culligan, P.J.; Goodings, D.J.; Konig, D.; Kutter...
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  • Thumbnail for Marie Gaudin
    Marie Gaudin (French pronunciation: [maʁi ɡodɛ̃]; 1495–1580), Dame de La Bourdaisière and de Thuisseau, was a French lady-in-waiting, known as the lover...
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