Emergence of Periodic Structure from Maximizing the Lifetime of a Bound State Coupled to Radiation

DOI10.1137/100813221zbMath1227.49049arXiv1010.5746OpenAlexW2048738839MaRDI QIDQ3098542

Braxton Osting, Michael I. Weinstein

Publication date: 17 November 2011

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5746

zbMATH Keywords

constrained optimizationSchrödinger equationspectral gapparametric forcingionizationFermi's golden rulequality factorBragg resonance

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Newton-type methods (49M15) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Scattering theory for PDEs (35P25) General spectral theory of ordinary differential operators (34L05) Existence theories for optimal control problems involving partial differential equations (49J20) Resonance in context of PDEs (35B34) Variational principles of physics (49S05)

Related Items (2)

Spectrally optimized pointset configurations ⋮ Pareto optimal structures producing resonances of minimal decay under \(L^1\)-type constraints

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