Perturbed periodic Hamiltonians: Essential spectrum and exponential decay of eigenfunctions

DOI10.1007/BF00739091zbMath0848.35103OpenAlexW2057070438MaRDI QIDQ1900451

Alexandrina Nenciu, Gheorghe Nenciu, Anne Boutet de Monvel-Berthier

Publication date: 24 October 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00739091

zbMATH Keywords

Hamiltoniandecay of generalized eigenfunctionsstability of the essential spectrum

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Applications of operator theory in the physical sciences (47N50) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators

Cites Work

• Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
• \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation
• The spectrum band structure of the three-dimensional Schrödinger operator with periodic potential
• On the point spectrum of Dirac operators
• Spectrum and continuum eigenfunctions of Schrödinger operators
• Perturbation theory for the decay rate of eigenfunctions in the generalized \(N\)-body problem
• On a class of hypoelliptic differential operators
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