Schrödinger operators with singular Gordon potentials

Details Schrödinger operators with singular Gordon potentials Schrödinger operators with singular Gordon potentials

2001-09-19

arxiv.org/abs/math/0109130v1

Mathematics

Spectral Theory

13 pages, Amslatex, to appear in Meth. Funct. Anal. Topol

Scientific paper

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 Schr\"odinger operators with singular Gordon potentials have no
point spectrum and show that a rich class of quasiperiodic distributions
consists of singular Gordon potentials.

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