Shape resonances for distortion analytic schrödinger operators
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Publication:3477362
DOI10.1080/03605308908820659zbMath0699.35204OpenAlexW1976348525MaRDI QIDQ3477362
Publication date: 1989
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605308908820659
Spectral theory and eigenvalue problems for partial differential equations (35P99) Schrödinger operator, Schrödinger equation (35J10)
Related Items (9)
Low energy asymptotics for Schrödinger operators with slowly decreasing potentials ⋮ Semiclassical resolvent estimates for the barrier top energy ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Geometric bounds on the density of resonances for semiclassical problems ⋮ The spectrum of the scattering matrix near resonant energies in the semiclassical limit ⋮ Tosio Kato's work on non-relativistic quantum mechanics. I ⋮ Unnamed Item ⋮ Tosio Kato’s work on non-relativistic quantum mechanics, Part 2 ⋮ Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators
Cites Work
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- Semiclassical analysis of low lying eigenvalues. II: Tunneling
- On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains
- The shape resonance
- On the absence of resonances for Schrödinger operators with non- trapping potentials in the classical limit
- Sharp exponential bounds on resonances states and width of resonances
- Perturbation theory for shape resonances and large barrier potentials
- A note on the absence of resonances for Schrödinger operators
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