Resonances of a Potential Well with a Thick Barrier

DOI10.1137/120883694zbMath1312.34130OpenAlexW1973502579MaRDI QIDQ2862275

Fadil Santosa, Stephen P. Shipman, David C. Dobson, Michael I. Weinstein

Publication date: 14 November 2013

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120883694

zbMATH Keywords

Schrödinger equationasymptotic analysis of resonancesnumerical approximation of resonances

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities ⋮ Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers ⋮ A perturbation approach for near bound-state resonances of photonic crystal with defect ⋮ Pareto optimization of resonances and minimum-time control ⋮ Scattering Resonances for a Two-Dimensional Potential Well with a Thick Barrier ⋮ Defect Resonances of Truncated Crystal Structures

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