On a~New Form of Bethe Ansatz Equations and Separation of Variables in the $\mathfrak{sl}_3$ Gaudin model

E. E. Mukhin; V. Schechtman; V. O. Tarasov; A. N. Varchenko

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On a~New Form of Bethe Ansatz Equations and Separation of Variables in the $\mathfrak{sl}_3$ Gaudin model

E. E. Mukhin ; V. Schechtman ; V. O. Tarasov ; A. N. Varchenko

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and singularities. Part 1, Tome 258 (2007), pp. 162-184

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Résumé

A new form of Bethe ansatz equations is introduced. A version of a separation of variables for the quantum $\mathfrak{sl}_3$ Gaudin model is presented.

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@article{TM_2007_258_a11,
     author = {E. E. Mukhin and V. Schechtman and V. O. Tarasov and A. N. Varchenko},
     title = {On {a~New} {Form} of {Bethe} {Ansatz} {Equations} and {Separation} of {Variables} in the $\mathfrak{sl}_3$ {Gaudin} model},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {162--184},
     publisher = {mathdoc},
     volume = {258},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2007_258_a11/}
}

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AU  - V. Schechtman
AU  - V. O. Tarasov
AU  - A. N. Varchenko
TI  - On a~New Form of Bethe Ansatz Equations and Separation of Variables in the $\mathfrak{sl}_3$ Gaudin model
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
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%A V. Schechtman
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%A A. N. Varchenko
%T On a~New Form of Bethe Ansatz Equations and Separation of Variables in the $\mathfrak{sl}_3$ Gaudin model
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2007
%P 162-184
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%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2007_258_a11/
%G en
%F TM_2007_258_a11

E. E. Mukhin; V. Schechtman; V. O. Tarasov; A. N. Varchenko. On a~New Form of Bethe Ansatz Equations and Separation of Variables in the $\mathfrak{sl}_3$ Gaudin model. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Analysis and singularities. Part 1, Tome 258 (2007), pp. 162-184. http://geodesic.mathdoc.fr/item/TM_2007_258_a11/