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• W3036662045 abstract "In this paper we study the Schrödinger operator $$H=-Delta + lambda V(varvec{x})$$ with a real analytic quasi-periodic potential $$V(varvec{x})$$ defined on $${mathbb {R}}^d$$ for arbitrary $$dge 1$$ . We prove that H has no eigenvalues in the energy interval $$left[ -|log lambda |^{C}, |log lambda |^{C}right] $$ for every $$C>0$$ if $$lambda >0$$ is sufficiently small. The proof is based on the Aubry duality and the multi-scale analysis in the momentum space." @default.
• W3036662045 created "2020-06-25" @default.
• W3036662045 creator A5074067680 @default.
• W3036662045 date "2021-07-27" @default.
• W3036662045 modified "2023-10-16" @default.
• W3036662045 title "Absence of Eigenvalues of Analytic Quasi-Periodic Schrödinger Operators on $${mathbb {R}}^d$$" @default.
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• W3036662045 doi "https://doi.org/10.1007/s00220-021-04174-z" @default.
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