Anderson transitions for a family of almost periodic Schrödinger equations in the adiabatic case

DOI10.1007/s002200200612zbMath1004.81008OpenAlexW1992667548MaRDI QIDQ1849544

Frédéric Klopp, Alexander Fedotov

Publication date: 1 December 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200200612

zbMATH Keywords

asymptotic behaviormonodromy matrixabsolutely continuous spectrumsingular spectrumone-dimensional Schrödinger equationsphase space tunnelinglow energy region

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30)

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