Absolutely continuous spectrum for quasi-periodic Schr\"odinger operators
Helge Krueger
TL;DR
This paper proves that quasi-periodic Schrödinger operators in any dimension possess some absolutely continuous spectrum, advancing understanding of their spectral properties.
Contribution
It establishes the presence of absolutely continuous spectrum for quasi-periodic Schrödinger operators in arbitrary dimensions, a significant theoretical development.
Findings
Existence of absolutely continuous spectrum in arbitrary dimensions
Extension of spectral theory for quasi-periodic operators
New results on spectral types of Schrödinger operators
Abstract
I prove that quasi-periodic Schr\"odinger operators in arbitrary dimension have some absolutely continuous spectrum.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems