, Volume 88, Issue 4, pp 465-477

Localization inv-dimensional incommensurate structures

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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.

On leave of absence from the “Accademia dei Linceï” Roma, Italy
Communicated by B. Simon