Based on generalized Gaudin models and Lie algebras so(2m), we construct two integrable cases of the pairing BCS Hamiltonians containing m types of spinless fermions. They are the so-called s-type and p x + ip y-type BCS Hamiltonians. In the particular case of the Lie algebra so(8), the constructed models can be viewed as N = Z proton-neutron integrable models. We find the spectrum of the constructed Hamiltonians in terms of solutions of Bethe-type equations. © 2012 IOP Publishing Ltd.

Skrypnyk, T. (2012). Classical r-matrices and integrable BCS models with many types of fermions. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 45(41), 415203 [10.1088/1751-8113/45/41/415203].

Classical r-matrices and integrable BCS models with many types of fermions

SKRYPNYK, TARAS
Primo
2012

Abstract

Based on generalized Gaudin models and Lie algebras so(2m), we construct two integrable cases of the pairing BCS Hamiltonians containing m types of spinless fermions. They are the so-called s-type and p x + ip y-type BCS Hamiltonians. In the particular case of the Lie algebra so(8), the constructed models can be viewed as N = Z proton-neutron integrable models. We find the spectrum of the constructed Hamiltonians in terms of solutions of Bethe-type equations. © 2012 IOP Publishing Ltd.
Articolo in rivista - Articolo scientifico
Mathematical Physics; Physics and Astronomy (all); Statistical and Nonlinear Physics; Modeling and Simulation; Statistics and Probability
English
2012
45
41
415203
415203
none
Skrypnyk, T. (2012). Classical r-matrices and integrable BCS models with many types of fermions. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 45(41), 415203 [10.1088/1751-8113/45/41/415203].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/65731
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