Add to ORKGWe consider the limit measures induced by the rescaled eigenfunctions of single-well Schr\"odinger operators. We show that the limit measure is supported on $[-1,1]$ and with the density proportional to $(1-|x|^\beta)^{-1/2}$ when the non-perturbed potential resembles $|x|^\beta$, $\beta >0$, for large $x$, and with the uniform density for super-polynomially growing potentials. We compare these results to analogous results in orthogonal polynomials and semiclassical defect measures.Comment: 24 pages, rewritten and extende
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We study two topics in the theory of Schr\"odinger operators:1. We establish bounds on the density o...
We report our results on the scaling limit of the eigenvalues and the corresponding eigenfunctions f...
We consider eigenfunctions of a semiclassical Schr{\"o}dinger operator on an interval, with a single...
We prove bounds on the sum of the differences between the eigenvalues of a Schr\"odinger operator an...
AbstractWe prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtai...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
International audienceWe consider a semi-classical Schrodinger operator with a degenerate potential ...
AbstractWe prove a Szegö-type theorem for some Schrödinger operators of the form H = −12Δ + V with V...
We consider the 1d Schr\"odinger operator with decaying random potential, and study the joint scalin...
We extend some recent results of Lubinsky, Levin, Simon, and Totik from measures with compact suppor...
In this note we provide an explicit lower bound on the spectral gap of one-dimensional Schr\"odinger...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We study two topics in the theory of Schr\"odinger operators:1. We establish bounds on the density o...
We report our results on the scaling limit of the eigenvalues and the corresponding eigenfunctions f...
We consider eigenfunctions of a semiclassical Schr{\"o}dinger operator on an interval, with a single...
We prove bounds on the sum of the differences between the eigenvalues of a Schr\"odinger operator an...
AbstractWe prove quantitative bounds on the eigenvalues of non-selfadjoint unbounded operators obtai...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
International audienceWe consider a semi-classical Schrodinger operator with a degenerate potential ...
AbstractWe prove a Szegö-type theorem for some Schrödinger operators of the form H = −12Δ + V with V...
We consider the 1d Schr\"odinger operator with decaying random potential, and study the joint scalin...
We extend some recent results of Lubinsky, Levin, Simon, and Totik from measures with compact suppor...
In this note we provide an explicit lower bound on the spectral gap of one-dimensional Schr\"odinger...
We show that the absolute values of non-positive eigenvalues of Schrödinger operators with complex p...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We consider Schrödinger operators of the form HR=−{d}2/{d}x2+q+iγχ[0,R] for large R>0 , where q∈L...
We study two topics in the theory of Schr\"odinger operators:1. We establish bounds on the density o...