Essential spectrum and 𝐿_2-solutions of one-dimensional Schrödinger operators

DOI10.1090/S0002-9939-96-03463-6zbMath0858.34073MaRDI QIDQ4890279

Remling, Christian

Publication date: 11 August 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

essential spectrumone-dimensional Schrödinger operatorinverse spectral theoryeigenvalue equationsHartman-Wintner conjecture

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Inverse problems involving ordinary differential equations (34A55)

Related Items

On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint, Symmetric operators with real defect subspaces of the maximal dimension. Applications to differential operators, Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators, On essential spectra of singular linear Hamiltonian systems, The spectrum of differential operators and square-integrable solutions, Survey article: Self-adjoint ordinary differential operators and their spectrum, Essential spectrum of singular discrete linear Hamiltonian systems, \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems

Cites Work

• Spectral theory of ordinary differential operators
• A Separation Theorem for Continuous Spectra
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