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Showing 2005 · math.APShow all
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math.AP2005
On an isoperimetric inequality for a Schrodinger operator depending on the curvature of a loop
Almut Burchard, Lawrence E. Thomas
Let C be a smooth closed curve of length 2 Pi in R^3, and let k(s) be its curvature, regarded as a function of arc length. We associate with this curve the one-dimensional Schrodin…
math.AP2005★ 2 cited
Semi-Classical Behavior of the Spectral Function
Ivana Alexandrova
We study the semi-classical behavior of the spectral function of the Schrödinger operator with short range potential. We prove that the spectral function is a semi-classical Fourie…