An Estimate of the Gap of the First Two Eigenvalues in the Schrödinger Operator

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dc.creatorYau, Shing-Tung
dc.date2009-02-13
dc.date.accessioned2026-07-07T12:41:33Z
dc.date.available2026-07-07T12:41:33Z
dc.descriptionWe give a lower estimate of the gap of the first two eigenvalues of the Schrodinger operator in the case when the potential is strongly convex. In particular, if the Hessian of the potential is bounded from below by a positive constant, the gap has a lower bound independent of the dimension. We also estimate the gap when the potential is not necessarily convex.
dc.descriptionPublished version of the 2003 article for the Proceedings in honor of Louis Nirenberg's 75th birthday, Hsinchu, Sept. 2000
dc.identifierhttps://arxiv.org/abs/0902.2250
dc.identifierhttp://arxiv.org/abs/0902.2250
dc.identifierLectures on Partial Differential Equations. Edited by S.-Y. A. Chang, C.-S. Lin and H.-T. Yau. 223-235, New Stud. Adv. Math., 2, Int. Press, Somerville, MA, 2003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219811
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.titleAn Estimate of the Gap of the First Two Eigenvalues in the Schrödinger Operator
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