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Manojlović, Nenad

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E017-D84B-6794
0000-0002-1054-3063

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Author: Manojlović, Nenad × Subject: BCS ×

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  • Twisted rational r-matrices and algebraic Bethe ansatz: Application to generalized Gaudin and Richardson models
    Publication . Skrypnyk, T.; Manojlović, Nenad
    In the present paper we develop the algebraic Bethe ansatz approach to the case of non-skew-symmetric gl(2) circle times gl(2)-valued Cartan-non-invariant classical r-matrices with spectral parameters. We consider the two families of these r-matrices, namely, the two non-standard rational r-matrices twisted with the help of second order automorphisms and realize the algebraic Bethe ansatz method for them. We study physically important examples of the Gaudin-type and BCS-type systems associated with these r-matrices and obtain explicitly the Bethe vectors and the spectrum for the corresponding quantum hamiltonians in terms of solutions of Bethe equations. (C) 2021 The Author(s). Published by Elsevier B.V.
    2021-06Journal article Open Access Show more