On asymptotics of eigenvalues for a certain 1-dimensional random Schrödinger operator

zbMath1221.60097MaRDI QIDQ531277

Pham Van Quoc, Shin'ichi Kotani

Publication date: 29 April 2011

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1300802705

zbMATH Keywords

central limit theoremcompound Poisson processesSchrödinger operators with random potentials

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Random linear operators (47B80)

Related Items (2)

Spectral statistics for one-dimensional Anderson model with unbounded but decaying potential ⋮ The IDS and asymptotic of the largest eigenvalue of random Schrödinger operators with decaying random potential

Cites Work

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• On the basic states of one-dimensional disordered structures
• On asymptotic behaviour of the spectra of a one-dimensional Hamiltonian with a certain random coefficient
• A limit law for the ground state of Hill's equation
• [https://portal.mardi4nfdi.de/wiki/Publication:4134658 On spectra of the Schr�dinger operator with a white Gaussian noise potential]

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