Connection between the Lieb--Thirring conjecture for Schroedinger operators and an isoperimetric problem for ovals on the plane

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dc.creatorBenguria, Rafael D.
dc.creatorLoss, Michael
dc.date2004-02-17
dc.date.accessioned2026-07-07T04:30:57Z
dc.date.available2026-07-07T04:30:57Z
dc.descriptionTo determine the sharp constants for the one dimensional Lieb--Thirring inequalities with exponent gamma in (1/2,3/2) is still an open problem. According to a conjecture by Lieb and Thirring the sharp constant for these exponents should be attained by potentials having only one bound state. Here we exhibit a connection between the Lieb--Thirring conjecture for gamma=1 and an isporimetric inequality for ovals in the plane.
dc.description9 pages, LaTex
dc.identifierhttps://arxiv.org/abs/math-ph/0402048
dc.identifierhttp://arxiv.org/abs/math-ph/0402048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57653
dc.subjectMathematical Physics
dc.subject81Q10 (primary), 53A04, 49R50 (secondary)
dc.titleConnection between the Lieb--Thirring conjecture for Schroedinger operators and an isoperimetric problem for ovals on the plane
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