Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation

DOI10.1137/080743366zbMath1204.34114arXiv0811.4514OpenAlexW2122958943MaRDI QIDQ4931694

Tomáš Dohnal, Michael Plum, Wolfgang Reichel

Publication date: 30 September 2010

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

Full work available at URL: https://arxiv.org/abs/0811.4514

zbMATH Keywords

eigenvaluesinterfacesperiodic Schrödinger equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Variational methods for eigenvalues of operators (49R05)

Related Items (11)

Generalised Meissner Equations with an Eigenvalue-inducing Interface ⋮ Robust edge modes in dislocated systems of subwavelength resonators ⋮ Surface gap soliton ground states for the nonlinear Schrödinger equation ⋮ Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons ⋮ Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations ⋮ Periodic Dirac operator with dislocation ⋮ Defect modes for dislocated periodic media ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ Dubrovin equation for periodic Dirac operator on the half-line ⋮ Bound states for nano-tubes with a dislocation ⋮ The bulk-edge correspondence for continuous dislocated systems

This page was built for publication: Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation