A family of Schr\"odinger operators whose spectrum is an interval
classification
🧮 math.SP
math-phmath.MP
keywords
intervalodingerschrspectrumapproximationcontinuousfamilynotin
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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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