Bound state problem for random potentials

DOI10.1080/07362998408809030zbMath0601.60065OpenAlexW2004642271MaRDI QIDQ3736650

Andrzej Korzeniowski

Publication date: 1984

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362998408809030

zbMATH Keywords

Schrödinger operatorrandom potentialsrandom transformation

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Cites Work

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• Classical boundary conditions as a technical tool in modern mathematical physics
• Probabilistic methods in some problems of scattering theory
• Weak type estimates for singular values and the number of bound states of Schrödinger operators
• The law of large numbers and the central limit theorem in Banach spaces
• Spectral operators
• Bounds on the eigenvalues of the Laplace and Schroedinger operators

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