T Skrypnyk 2009 J. Phys. A: Math. Theor. 42 472004 doi:10.1088/1751-8113/42/47/472004
T Skrypnyk
Show affiliationsWe consider generalized quantum Gaudin systems in an external magnetic field associated with non-skew-symmetric sl(2)-valued classical r-matrices. We calculate spectra of the generating function of the corresponding Hamiltonians using the algebraic Bethe ansatz. We apply these results to the construction of integrable fermionic Hamiltonians of a generalized BCS type. We investigate the special cases when the corresponding integrable Hamiltonians contain only a pairing interaction term and consider an example of such a situation associated with a special non-skew-symmetric r-matrix.
82B23 Exactly solvable models; Bethe ansatz
15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.)
82B10 Quantum equilibrium statistical mechanics (general)
17Bxx Lie algebras and Lie superalgebras (For Lie groups, see 22Exx)
Issue 47 (27 November 2009)
Received 5 July 2009, in final form 12 October 2009
Published 6 November 2009
T Skrypnyk 2009 J. Phys. A: Math. Theor. 42 472004
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