The spectrum of the three-dimensional Kronig-Penney model with random point defects

DOI10.1016/S0196-8858(82)80016-XzbMath0513.60062OpenAlexW2078072250MaRDI QIDQ1050708

Fabio Martinelli, Werner Kirsch, Sergio A. Albeverio, Raphael J. Høegh-Krohn

Publication date: 1982

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0196-8858(82)80016-x

zbMATH Keywords

Schrödinger operatorsrandom potentialspoint interactionsKronig- Penney-models

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Schrödinger operator, Schrödinger equation (35J10) Many-body theory; quantum Hall effect (81V70)

Related Items (4)

Exponential Localization for Multi-Dimensional Schrödinger Operator with Random Point Potential ⋮ A self-adjointness criterion for the Schrödinger operator with infinitely many point interactions and its application to random operators ⋮ The spectrum of defect periodic point interactions ⋮ Transition matrix of point interactions as the scaling limit of integrable potentials on the real line

Cites Work

• On the spectrum of Schrödinger operators with a random potential
• Singular Perturbations and Nonstandard Analysis
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