Schrödinger operators with singular Gordon potentials

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Singular Gordon potentials are defined to be distributions from the space W^{-1}_{2,unif}(R) that are sufficiently fast approximated by periodic ones. We prove that Schrödinger operators with singular Gordon potentials have no point spectrum and show that a rich class of quasiperiodic distributions consists of singular Gordon potentials.
13 pages, Amslatex, to appear in Meth. Funct. Anal. Topol

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Spectral Theory, Mathematical Physics, 34L05 (Primary) 4L40, 47A75 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/62225

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0109130
 http://arxiv.org/abs/math/0109130

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arXiv