Schrödinger operators with singular Gordon potentials

Rostyslav O. Hryniv; Yaroslav V. Mykytyuk

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Schrödinger operators with singular Gordon potentials

Rostyslav O. Hryniv·Yaroslav V. Mykytyuk

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Abstract

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.

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BibTeX RIS

Rostyslav O. Hryniv, Yaroslav V. Mykytyuk. 2001-09-19. Schrödinger operators with singular Gordon potentials. https://arxiv.org/abs/math/0109130

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