Upper bound for the Bethe-Sommerfeld threshold and the spectrum of the Poisson random Hamiltonian in two dimensions

DOI10.1007/s00023-012-0180-1zbMath1260.81074OpenAlexW2054273215MaRDI QIDQ1936406

Masahiro Kaminaga, Takuya Mine

Publication date: 4 February 2013

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-012-0180-1

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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A self-adjointness criterion for the Schrödinger operator with infinitely many point interactions and its application to random operators

Cites Work

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• The spectrum of Schrödinger operators with Poisson type random potential
• Bethe-Sommerfeld conjecture
• The spectrum band structure of the three-dimensional Schrödinger operator with periodic potential
• A low concentration asymptotic expansion for the density of states of a random Schrödinger operator with Poisson disorder
• Lifshitz tails for random Schrödinger operators with negative singular Poisson potential
• On the spectrum of Schrödinger operators with a random potential
• Asymptotic of the density of states for the Schrödinger operator with periodic electric potential
• Perturbation theory for the Schrödinger operator with a periodic potential