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St. Petersburg Mathematical Journal

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Adiabatic asymptotics of the reflection coefficient


Authors: V. S. Buslaev, M. V. Buslaeva and A. Grigis
Translated by: A. Plotkin
Original publication: Algebra i Analiz, tom 16 (2004), nomer 3.
Journal: St. Petersburg Math. J. 16 (2005), 437-452
MSC (2000): Primary 34B24
DOI: https://doi.org/10.1090/S1061-0022-05-00860-5
Published electronically: May 5, 2005
MathSciNet review: 2083564
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Additional Information

V. S. Buslaev
Affiliation: Department of Physics, St. Petersburg State University, Ulyanovskaya 1, Petrodvorets, St. Petersburg 198504, Russia
Email: buslaev@mph.phys.spbu.ru

M. V. Buslaeva
Affiliation: St. Petersburg State Electrotechnical University, Ul. Prof. Popova 5, St. Petersburg 197376, Russia

A. Grigis
Affiliation: Department of Mathematics, University Paris 13, Av. J-B Clement, Villetaneuse 93430, France
Email: grigis@math.univ-paris13.fr

DOI: https://doi.org/10.1090/S1061-0022-05-00860-5
Keywords: Singular Sturm--Liouville problem, Jost solution, reflection coefficient, asymptotics
Received by editor(s): November 2, 2003
Published electronically: May 5, 2005
Article copyright: © Copyright 2005 American Mathematical Society

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