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FAST TRACK COMMUNICATION
2009 J. Phys. A: Math. Theor. 42 472004 (10pp) doi: 10.1088/1751-8113/42/47/472004
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Abstract. We 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.
PACS numbers: 02.20.Sv, 02.20.Tw, 02.30.Ik
Print publication: Issue 47 (27 November 2009) |
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