Operators with Singular Continuous Spectrum: III. Almost Periodic Schrόdinger Operators
نویسندگان
چکیده
We prove that one-dimensional Schrodinger operators with even almost periodic potential have no point spectrum for a dense Gδ in the hull. This implies purely singular continuous spectrum for the almost Mathieu equation for coupling larger than 2 and a dense Gδ in Θ even if the frequency is an irrational with good Diophantine properties.
منابع مشابه
Operators with Singular Continuous Spectrum: Iii. Almost Periodic Schrödinger Operators
We prove that one-dimensional Schrödinger operators with even almost periodic potential have no point spectrum for a dense Gδ in the hull. This implies purely singular continuous spectrum for the almost Mathieu equation for coupling larger than 2 and a dense Gδ in θ even if the frequency is an irrational with good Diophantine properties. §
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