Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner-von Neumann potential

DOI10.1007/s00209-016-1659-0zbMath1372.47059arXiv1603.05483OpenAlexW2963746955MaRDI QIDQ329991

Sergey Simonov

Publication date: 24 October 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.05483

zbMATH Keywords

Schrödinger operatorspectral densitymultiple scale methodTitchmarsh-Weyl theoryWigner-von Neumann potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05)

Related Items (6)

Dirac operators with operator data of Wigner-von Neumann type ⋮ Spectral results for perturbed periodic Jacobi matrices using the discrete Levinson technique ⋮ Titchmarsh-Weyl formula for the spectral density of a class of Jacobi matrices in the critical case ⋮ Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators ⋮ Spectral edge behavior for eventually monotone Jacobi and Verblunsky coefficients ⋮ Embedded eigenvalues and Neumann-Wigner potentials for relativistic Schrödinger operators

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