On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime

2024/08/03 by Alexandro Luna, Luna, Alexandro
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Quantum chaos and dynamical systems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2408.01637

Abstract

We prove that the Hausdorff dimension of the spectrum of a discrete Schrödinger operator with Sturmian potential of bounded type tends to one as coupling tends to zero. The proof is based on the trace map formalism.

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