Uniform observation of semiclassical Schrödinger eigenfunctions on an interval
Uniform observation of semiclassical Schrödinger eigenfunctions on an interval
We consider eigenfunctions of a semiclassical Schr{\"o}dinger operator on an interval, with a single-well type potential and Dirichlet boundary conditions. We give upper/lower bounds on the L^2 density of the eigenfunctions that are uniform in both semiclassical and high energy limits. These bounds are optimal and are used in an …