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- W2253842153 abstract "We consider the quasi-periodic Schrodinger operator $$ [H psi](x) = -psi(x) + V(x) psi(x) $$ in $L^2(mathbb{R})$, where the potential is given by $$ V(x) = sum_{m in mathbb{Z}^nu setminus { 0 }} c(m)exp (2pi i m omega x) $$ with a Diophantine frequency vector $omega = (omega_1, dots, omega_nu) in mathbb{R}^nu$ and exponentially decaying Fourier coefficients $|c(m)| le varepsilon exp(-kappa_0|m|)$. In the regime of small $varepsilon > 0$ we show that the spectrum of the operator $H$ is homogeneous in the sense of Carleson." @default.
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- W2253842153 date "2014-08-19" @default.
- W2253842153 modified "2023-09-27" @default.
- W2253842153 title "The Spectrum of a Schrodinger Operator With Small Quasi-Periodic Potential is Homogeneous" @default.
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