Nodal Sets of Schrödinger Eigenfunctions in Forbidden Regions

被引：0

作者：

Yaiza Canzani

John A. Toth

机构：

[1] Harvard University,Institute for Advanced Study

[2] McGill University,Department of Mathematics and Statistics

来源：

Annales Henri Poincaré | 2016年 / 17卷

关键词：

Riemannian Manifold; Remainder Term; Unique Continuation; Holomorphic Continuation; Isotropic Harmonic Oscillator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This note concerns the nodal sets of eigenfunctions of semiclassical Schrödinger operators acting on compact, smooth, Riemannian manifolds, with no boundary. In the case of real analytic surfaces, we obtain sharp upper bounds for the number of intersections of the zero sets of Schrödinger eigenfunctions with a fixed curve that lies inside the classically forbidden region.

引用

页码：3063 / 3087

页数：24

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