Spectral properties of random Schrödinger operators with unbounded potentials
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Publication:1311688
DOI10.1007/BF02098017zbMath0788.60077OpenAlexW1982791195MaRDI QIDQ1311688
Barry Simon, Vojkan Jakšić, Stanislav Alekseevich Molchanov, Alexander Ya. Gordon
Publication date: 1 June 1994
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02098017
random Schrödinger operatorsspectral propertiesdiscrete spectrumlowest eigenvalue of a Dirichlet Laplacian of a unit ball
Related Items (6)
Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Some Estimates Regarding Integrated Density of States for Random Schrödinger Operator with Decaying Random Potentials ⋮ Singular continuous spectrum and generic full spectral/packing dimension for unbounded quasiperiodic Schrödinger operators ⋮ LOCALIZATION FOR ONE DIMENSIONAL LONG RANGE RANDOM HAMILTONIANS ⋮ Smoothness of density of states for random decaying interaction ⋮ The IDS and asymptotic of the largest eigenvalue of random Schrödinger operators with decaying random potential
Cites Work
- Some Jacobi matrices with decaying potential and dense point spectrum
- Anderson localization for multi-dimensional systems at large disorder or large energy
- Appearance of a purely singular continuous spectrum in a class of random Schrödinger operators
- Spectral theory of one-dimensional Schrödinger operators with strongly fluctuating potentials
- One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum
- Trace class perturbations and the absence of absolutely continuous spectra
- Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
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