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arxiv: 0811.3077 · v2 · pith:KRXT5LXGnew · submitted 2008-11-19 · ❄️ cond-mat.str-el

Analysis of the N=4 Hubbard ring using a counting operator

classification ❄️ cond-mat.str-el
keywords countinghubbardoperatorringtheoremsanalysisanalyticallyapply
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We prove three theorems about the use of a counting operator to study the spectrum of model Hamiltonians. We analytically calculate the eigenvalues of the Hubbard ring with four lattice positions and apply our theorems to describe the observed level crossings.

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