The uniqueness of the integrated density of states for the Schrödinger operators for the Robin boundary conditions.

DOI10.2977/prims/1145476342zbMath1183.81065OpenAlexW1967332551MaRDI QIDQ1848503

Takuya Mine

Publication date: 20 November 2002

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145476342

zbMATH Keywords

integrated density of statesRobin boundary conditionsLipschitz domainMagnetic Schrödinger operator

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Lifshitz tails for Anderson models with sign-indefinite single-site potentials ⋮ Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime ⋮ A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators

Cites Work

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• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• L'asymptotique de Weyl pour les bouteilles magnétiques. (The Weyl asymptotic formula for magnetic bottles)
• Schrödinger operators with singular magnetic vector potentials
• A remark on the Dirichlet-Neumann decoupling and the integrated density of states
• The uniqueness of the integrated density of states for the Schrödinger operators with magnetic fields
• The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials

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