A remark on the Lifshitz tail for Schrödinger operator with random magnetic field

DOI10.1007/BF02829649zbMath1019.81015OpenAlexW2005653774MaRDI QIDQ1599749

Shu Nakamura

Publication date: 14 September 2003

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829649

zbMATH Keywords

ergodic random magnetic field

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Free boundary problems for PDEs (35R35) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians
• Schrödinger operators with magnetic fields. I: General interactions
• Simple examples of Lifschitz tails in Gaussian random magnetic fields
• A remark on the Dirichlet-Neumann decoupling and the integrated density of states
• Lifshitz tail for 2D discrete Schrödinger operator with random magnetic field.
• Lifshitz tail for Schrödinger operator with random magnetic field
• The uniqueness of the integrated density of states for the Schrödinger operators with magnetic fields

This page was built for publication: A remark on the Lifshitz tail for Schrödinger operator with random magnetic field