Potentials Producing Maximally Sharp Resonances

DOI10.2307/2000033zbMath0591.34026OpenAlexW4248878945MaRDI QIDQ3719089

Roman Svirsky, Evans M. II. Harrell

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000033

zbMATH Keywords

first order differential equationmaximally sharp resonancesquantum-mechanical potentials

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Ordinary differential operators (34L99)

Related Items (5)

Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities ⋮ Optimization of spectral functions of Dirichlet-Laplacian eigenvalues ⋮ Pareto optimal structures producing resonances of minimal decay under \(L^1\)-type constraints ⋮ Pareto optimization of resonances and minimum-time control ⋮ Asymptotics of Random Resonances Generated by a Point Process of Delta-Interactions

Cites Work

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• Local spectral deformation techniques for Schrödinger operators
• Exterior complex scaling and the AC-Stark effect in a Coulomb field
• Perturbation theory for shape resonances and large barrier potentials
• General lower bounds for resonances in one dimension
• Hamiltonian operators with maximal eigenvalues
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory

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