On the singular spectrum for adiabatic quasiperiodic Schrödinger operators

DOI10.1155/2010/145436zbMath1201.81053arXiv0811.3745OpenAlexW2047013359WikidataQ58650034 ScholiaQ58650034MaRDI QIDQ606115

Magali Marx, Hatem Najar

Publication date: 16 November 2010

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3745

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Characteristic and Lyapunov exponents of ordinary differential equations (34D08)

Related Items (2)

Adiabatic almost-periodic Schrödinger operators ⋮ Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator

Cites Work

• Almost periodic Schrödinger operators. II: The integrated density of states
• The spectrum of Hill's equation
• Anderson transitions for a family of almost periodic Schrödinger equations in the adiabatic case
• On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit
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