Relations between two parts of the spectrum of a Schrödinger operator and other remarks on the absolute continuity of the spectrum in a typical case

DOI10.4171/ECR/18-1/21zbMath1480.81049MaRDI QIDQ2055124

Oleg Safronov

Publication date: 3 December 2021

zbMATH Keywords

Schrödinger operatorsdiscrete spectrumabsolutely continuous spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Elliptic operators and their generalizations (47F10)

Cites Work

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• Lower bounds on the eigenvalue sums of the Schrödinger operator and the spectral conservation law
• Absolutely continuous spectrum of a Dirac operator in the case of a positive mass
• Half-line Schrödinger operators with no bound states
• Schrödinger operators with many bound states
• On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
• Variational estimates for discrete Schrödinger operators with potentials of indefinite sign
• Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials
• A relation between the positive and negative spectra of elliptic operators
• Schrödinger operators and associated hyperbolic pencils
• On the absolutely continuous spectrum of multi-dimensional Schrödinger operators with slowly decaying potentials
• Schrödinger operators with few bound states
• Absolutely continuous spectrum of a one-parameter family of Schrödinger operators
• On the Absolutely Continuous Spectrum of Dirac Operator
• Absolutely continuous spectrum of a typical Schrödinger operator with a slowly decaying potential
• Wave Propagation through sparse potential barriers

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