Point spectrum on a continuous spectrum for weakly perturbed Stark type operators

DOI10.1007/BF01077472zbMath0871.47035MaRDI QIDQ1921876

Serguei Naboko, Alexander Pushnitski

Publication date: 6 October 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluecontinuous spectrumSchrödinger operatorboundary conditiondecaying potentialweak perturbations

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05)

Related Items (10)

Propagation theorems for some classes of pseudo-differential operators ⋮ Absolutely continuous spectrum of Stark operators ⋮ Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators ⋮ Solutions, spectrum, and dynamics for Schrödinger operators on infinite domains ⋮ On the absolutely continuous spectrum of Stark Hamiltonians ⋮ ABSOLUTELY CONTINUOUS SPECTRUM FOR SINGULAR STARK HAMILTONIANS ⋮ Spectral Properties of Differential Operators with Oscillating Coefficients ⋮ Absolutely continuous spectrum of perturbed Stark operators ⋮ Absolutely continuous spectrum of Stark type operators ⋮ Spectral theory for 1-body Stark operators

Cites Work

• Dense point spectra of Schrödinger and Dirac operators
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• On the point spectrum of discrete Schrödinger operator
• Zur Spektraltheorie von Sturm-Liouville-Operatoren
• Absolute continuity of the essential spectrum of - \(d^2\over dt^2\) + \(q\)(\(t\)) without monotony of q
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• [https://portal.mardi4nfdi.de/wiki/Publication:5803505 On the Point Spectra of y � � + (λ- q(x))y = 0]
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