A family of Schrödinger operators whose spectrum is an interval

Details A family of Schrödinger operators whose spectrum is an interval A family of Schrödinger operators whose spectrum is an interval

2008-09-19

arxiv.org/abs/0809.3434v2

Mathematics

Spectral Theory

Comm. Math. Phys. (to appear)

Scientific paper

10.1007/s00220-008-0724-x

By approximation, I show that the spectrum of the Schr\"odinger operator with
potential $V(n) = f(n\rho \pmod 1)$ for f continuous and $\rho > 0$, $\rho
\notin \N$ is an interval.

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