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- W1559874808 abstract "This note concerns the nodal sets of eigenfunctions of semiclassical Schrodinger operators acting on compact, smooth, Riemannian manifolds, with no boundary. We prove that if H is a separating hypersurface that lies inside the classically forbidden region, then H cannot persist as a component of the zero set of infinitely many eigenfunctions. In addition, on real analytic surfaces, we obtain sharp upper bounds for the number of intersections of the zero sets of the Schrodinger eigenfunctions with a fixed curve that lies inside the classically forbidden region." @default.
- W1559874808 created "2016-06-24" @default.
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- W1559874808 date "2015-02-03" @default.
- W1559874808 modified "2023-09-27" @default.
- W1559874808 title "Nodal sets of Schrodinger eigenfunctions in forbidden regions" @default.
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