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Article
Comm. Math. Phys. (to appear) [DOI: 10.1007/s00220-008-0724-x]

A family of Schrödinger operators whose spectrum is an interval

Helge Krüger

Abstract

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

MSC2000: Primary 81Q10; Secondary 47B36
Keywords: Schrödinger Operators, Spectrum

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