Bounds on embedded singular spectrum for one-dimensional Schrödinger operators
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Publication:4700159
DOI10.1090/S0002-9939-99-05110-2zbMath0931.34067MaRDI QIDQ4700159
Publication date: 1 November 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
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On the singular spectrum of Schrödinger operators with decaying potential ⋮ Verblunsky coefficients with Coulomb-type decay ⋮ Schrödinger operators with many bound states ⋮ Simon's OPUC Hausdorff dimension conjecture ⋮ Dirac operators with operator data of Wigner-von Neumann type ⋮ Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators ⋮ Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic case ⋮ Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators ⋮ The spectrum of differential operators of order \(2n\) with almost constant coefficients ⋮ Imbedded singular continuous spectrum for Schrödinger operators ⋮ On Simon's Hausdorff dimension conjecture ⋮ Schrödinger operators with decaying potentials: some counterexamples ⋮ Revisiting the Christ–Kiselev’s multi-linear operator technique and its applications to Schrödinger operators
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