Spectral theory of one-dimensional Schrödinger operators with strongly fluctuating potentials

DOI10.1007/BF01085500zbMath0741.34054OpenAlexW2014739429MaRDI QIDQ1178120

B. Zagany, Stanislav Alekseevich Molchanov, Alexander Ya. Gordon

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf01085500

zbMATH Keywords

Schrödinger operatorspectrumunbounded potentialsstep-functionfluctuating potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

Related Items (7)

Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Some Estimates Regarding Integrated Density of States for Random Schrödinger Operator with Decaying Random Potentials ⋮ Operators with singular continuous spectrum, V. Sparse potentials ⋮ 1-D Schrödinger operators with local point interactions on a discrete set ⋮ Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set ⋮ Spectral properties of random Schrödinger operators with unbounded potentials ⋮ Embedded singular continuous spectrum for one-dimensional Schrödinger operators

Cites Work

• Continuous spectrum of second-order ordinary differential operators
• Spectrum of the Sturm-Liouville equation with an oscillating potential
• One-dimensional Schrödinger operator with unbounded potential: The pure point spectrum

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