Abstract
We exhibit a class of quasi-periodic unbounded potential in thev-dimensional discrete Schrödinger equation, for which the spectrum is only pure point, with exponentially localized states and a dense set of eigenvalues in ℝ.
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Communicated by B. Simon
On leave of absence from the “Accademia dei Linceï” Roma, Italy
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Bellissard, J., Lima, R. & Scoppola, E. Localization inv-dimensional incommensurate structures. Commun.Math. Phys. 88, 465–477 (1983). https://doi.org/10.1007/BF01211954
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DOI: https://doi.org/10.1007/BF01211954