On an essential spectrum of the random \(p\)-adic Schrödinger-type operator in the Anderson model

DOI10.1023/A:1017990613027zbMath0989.47030OpenAlexW15468292MaRDI QIDQ5953681

Denis Krutikov

Publication date: 27 January 2002

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

Full work available at URL: https://doi.org/10.1023/a:1017990613027

zbMATH Keywords

random Schrödinger operatoressential spectrum\(p\)-adic numberfractional differentiation operator

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Random operators and equations (aspects of stochastic analysis) (60H25) Spectrum, resolvent (47A10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Random linear operators (47B80) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (4)

Poisson approximation related to spectra of hierarchical Laplacians ⋮ Oscillating heat kernels on ultrametric spaces ⋮ Poisson statistics of eigenvalues in the hierarchical Dyson model ⋮ Hierarchical Schrödinger Type Operators: The Case of Locally Bounded Potentials

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