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arXiv · 0809.3434

A family of Schrödinger operators whose spectrum is an interval

Helge Krueger
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Abstract

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

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Helge Krueger. 2008-10-17. A family of Schrödinger operators whose spectrum is an interval. https://doi.org/10.1007/s00220-008-0724-x

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