Lieb-Thirring Inequalities for Jacobi Matrices

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dc.creatorHundertmark, Dirk
dc.creatorSimon, Barry
dc.date2001-12-13
dc.date.accessioned2026-07-07T04:28:49Z
dc.date.available2026-07-07T04:28:49Z
dc.descriptionFor a Jacobi matrix J on l^2(Z_+) with Ju(n)=a_{n-1} u(n-1) + b_n u(n) + a_n u(n+1), we prove that \sum_{|E|>2} (E^2 -4)^{1/2} \leq \sum_n |b_n| + 4\sum_n |a_n -1|. We also prove bounds on higher moments and some related results in higher dimension.
dc.description21 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math-ph/0112027
dc.identifierhttp://arxiv.org/abs/math-ph/0112027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56934
dc.subjectMathematical Physics
dc.titleLieb-Thirring Inequalities for Jacobi Matrices
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