Semiclassical estimates for measure potentials on the real line

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

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Sturm-Liouville operators with measure-valued coefficients
Distribution of poles for scattering on the real line
Schrödinger operators with singular interactions
Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
Sturm-Liouville operators with singular potentials
Resolvent estimates for spacetimes bounded by Killing horizons
Semiclassical resolvent estimates for bounded potentials
General lower bounds for resonances in one dimension
Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds. II
On nonlinear Schrödinger equations in exterior domains
Bounds on scattering poles in one dimension
Semiclassical resolvent estimates for short-range $L^\infty$ potentials
Semiclassical resolvent estimates for Hölder potentials
Semiclassical resolvent bounds for weakly decaying potentials
Semiclassical estimates for scattering on the real line
Exponential lower resolvent bounds far away from trapped sets
Semiclassical resolvent bound for compactly supporte $L^\infty$ potentials
Improved resolvent bounds for radial potentials
Semiclassical resolvent estimates for $L^\infty$ potentials on Riemannian manifolds
One-dimensional Schrödinger operators with $\delta'$-interactions on Cantor-type sets
Direct and inverse spectral theory of one-dimensional Schrödinger operators with measures
Quantitative limiting absorption principle in the semiclassical limit
Effective limiting absorption principles, and applications
Improved resolvent bounds for radial potentials. II
Semiclassical resolvent bounds for compactly supported radial potentials
1-D Schrödinger operators with periodic singular potentials
Iterative reconstruction of the wave speed for the wave equation with bounded frequency boundary data
Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
Quantum resonances and time decay for a double-barrier model
Lower bounds for shape resonances widths of long range Schrodinger operators
Complex Scaling and the Distribution of Scattering Poles
Local energy decay for Lipschitz wavespeeds
Semiclassical resolvent bounds in dimension two
Self-adjointness of Schroedinger operators with singular potentials
Semiclassical Resolvent Bounds for Long-Range Lipschitz Potentials
Semiclassical resolvent estimates for short-range L ∞ potentials. II
Distribution of Resonances in Scattering by Thin Barriers
Mathematical Theory of Scattering Resonances
Semi‐classical resolvent estimates and regions free of resonances
Semiclassical resolvent bounds for short range L ∞ potentials with singularities at the origin
Exponential time‐decay for a one‐dimensional wave equation with coefficients of bounded variation
Spectral properties of Schr\"odinger operators with locally $H^{-1}$ potentials
Resolvent bounds for Lipschitz potentials in dimension two and higher with singularities at the origin
Newton polygons and resonances of multiple delta-potentials

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