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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 379, Pages 103–141 (Mi znsl3840)

This article is cited in 3 papers

Adiabatic almost-periodic Schrödinger operators

A. A. Fedotov

St. Petersburg State University, Faculty of Physics, St. Petersburg, Russia

Abstract: In this review we describe spectral results for an one-dimensional almost-periodic Schrödinger operator with two periods, one of the periods being much larger, than the second one. Bibl. 35 titles.

Key words and phrases: almost periodic Schrödinger operator, periodic operator, adiabatic perturbation, absolutely continuous spectrum, singular spectrum, Anderson transitions, level repulsion.

UDC: 517

Received: 12.10.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 173:3, 299–319

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