Proof of the Cases <Emphasis Type="Italic">p</Emphasis>≤ 7 of the Lieb-Seiringer Formulation of the Bessis-Moussa-Villani Conjecture |
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| Authors: | Daniel Hägele |
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| Institution: | 1.Spektroskopie der kondensierten Materie,Ruhr–Universit?t–Bochum,Bochum,Germany |
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| Abstract: | It is shown that the polynomial λ (t)=Tr(A+ tB)p] has nonnegative coefficients when p≤ 7 and A and B are any two complex positive semidefinite n× n matrices with arbitrary n. This proves a general nontrivial case of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture which is
a long standing problem in theoretical physics. |
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| Keywords: | Bessis-Moussa-Villani conjecture trace conjecture partition functions |
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