کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1840941 1031266 2012 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rational r-matrices, higher rank Lie algebras and integrable proton–neutron BCS models
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Rational r-matrices, higher rank Lie algebras and integrable proton–neutron BCS models
چکیده انگلیسی

We study integrable cases of pairing BCS hamiltonians containing several types of fermions. We prove that there exist three classes of such integrable models associated with classical rational r  -matrices and Lie algebras gl(2m)gl(2m), sp(2m)sp(2m) and so(2m)so(2m) correspondingly. We diagonalize the constructed hamiltonians by means of the algebraic Bethe ansatz. In the partial case of two types of fermions (m=2m=2) the obtained models may be interpreted as N=ZN=Z proton–neutron integrable models. In particular, in the case of sp(4)sp(4) we recover the famous integrable proton–neutron model of Richardson.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 863, Issue 2, 11 October 2012, Pages 435–469
نویسندگان
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