On the essential selfadjointness of stochastic Schrödinger operators

DOI10.1215/S0012-7094-83-05055-XzbMath0543.60069OpenAlexW1495148021MaRDI QIDQ796179

Fabio Martinelli, Werner Kirsch

Publication date: 1983

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-83-05055-x

zbMATH Keywords

random Schrödinger operatorrandom potentialsessentially selfadjoint

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (11)

Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections ⋮ Localization for some continuous random Schrödinger operators ⋮ A low concentration asymptotic expansion for the density of states of a random Schrödinger operator with Poisson disorder ⋮ Quantum diffusion of the random Schrödinger evolution in the scaling limit ⋮ Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime ⋮ Unnamed Item ⋮ The effect of boundary conditions on the density of states for random Schrödinger operators ⋮ EXISTENCE AND UNIQUENESS OF THE INTEGRATED DENSITY OF STATES FOR SCHRÖDINGER OPERATORS WITH MAGNETIC FIELDS AND UNBOUNDED RANDOM POTENTIALS ⋮ Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians ⋮ One-dimensional Schrödinger operators with random potentials: a survey ⋮ Anderson localization and Lifshits tails for random surface potentials

Cites Work

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• Spectral properties of disordered systems in the one-body approximation
• Sur le spectre des opérateurs aux différences finies aléatoires
• On the spectrum of Schrödinger operators with a random potential
• The general theory of stochastic population processes
• SPECTRA OF RANDOM SELF ADJOINT OPERATORS

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