Semicrystal with a singular potential in an accelerating electric field

DOI10.1007/S11232-006-0044-2zbMath1177.82116OpenAlexW1998989526MaRDI QIDQ1047993

A. A. Pozharskii

Publication date: 9 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-006-0044-2

zbMATH Keywords

asymptotic solutionSchrödinger equationturning pointabsolutely continuous spectrumadiabatic solution

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Statistical mechanics of crystals (82D25) Difference operators (39A70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

• One-dimensional Schrödinger operator with accelerating potential
• On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
• A crystal with a singular potential in a homogeneous electric field
• On the spectrum of the Wannier–Stark operator
• The absence of the absolutely continuous spectrum for δ ′ Wannier–Stark ladders

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