On the spectrum of the Wannier–Stark operator

DOI10.1090/S1061-0022-05-00865-4zbMath1071.81041OpenAlexW1576736752MaRDI QIDQ3022469

A. A. Pozharskii

Publication date: 29 June 2005

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-05-00865-4

zbMATH Keywords

Schrödinger operatorcontinuousessentially selfadjoint operator

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)

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Cites Work

• On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
• Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
• On the absolutely continuous spectrum of one-dimensional Schrödinger operators with square summable potentials
• Perturbation theory for linear operators.
• The absence of the absolutely continuous spectrum for δ ′ Wannier–Stark ladders
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