Counting Defect Modes in Periodic Eigenvalue Problems

DOI10.1137/100795310zbMath1238.34150OpenAlexW1970848634WikidataQ107199730 ScholiaQ107199730MaRDI QIDQ3174626

Zoi Rapti, Jared C. Bronski

Publication date: 11 October 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100795310

zbMATH Keywords

eigenvalue problemDiophantine approximationFloquet theoryMaslov indexperturbed Hill operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (3)

Oscillatory and Localized Perturbations of Periodic Structures and the Bifurcation of Defect Modes ⋮ Topologically protected states in one-dimensional continuous systems and Dirac points ⋮ Defect Resonances of Truncated Crystal Structures

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