On the stability of dense point spectrum for self-adjoint operators

DOI10.1063/1.527355zbMath0608.47018OpenAlexW2030756501MaRDI QIDQ3748794

C. Eugene Wayne, Lawrence E. Thomas

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527355

zbMATH Keywords

rank-one perturbationfixed orthonormal eigenvectorsindependently distributed random eigenvaluespoint spectrum almost surelyrandom self-adjoint operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (5)

Anderson Localization for Time Periodic Random Schrödinger Operators ⋮ Perturbation theory of dense point spectra ⋮ Unnamed Item ⋮ Fractal-like quasienergy spectrum in the Fermi-Ulam model ⋮ A localization principle for multiplicative perturbations

Cites Work

• Pure point spectrum for discrete almost periodic Schrödinger operators
• Perturbation of the continuous spectrum and unitary equivalence
• Examples of discrete Schrödinger operators with pure point spectrum
• A metal-insulator transition for the almost Mathieu model
• Sur le spectre des opérateurs aux différences finies aléatoires
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• Spectral behavior of quasi periodic potentials
• On a Problem of Weyl in the Theory of Singular Sturm-Liouville Equations
• On a theorem of Weyl-von Neumann
• Unitary Equivalence Modulo the Trace Class for Self-Adjoint Operators
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• On the perturbation of spectra

This page was built for publication: On the stability of dense point spectrum for self-adjoint operators