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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2010 Volume 379, Pages 142–178 (Mi znsl3841)

This article is cited in 2 papers

Complex WKB method for adiabatic perturbations of a periodic Schrödinger operator

A. A. Fedotov

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

Abstract: The review is devoted to an analog of the complex WKB method developed to study solutions of an one dimensional periodic Schrödinger equation with an adiabatic perturbation. We illustrate how to use the method by examples. Bibl. 30 titles.

Key words and phrases: eriodic Schrödinger operator, adiabatic perturbation, complex WKB method.

UDC: 517

Received: 12.10.2010


 English version:
Journal of Mathematical Sciences (New York), 2011, 173:3, 320–339

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