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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 177, Number 3, Pages 355–386
DOI: https://doi.org/10.4213/tmf8462 (Mi tmf8462) 		 
This article is cited in 30 scientific papers (total in 30 papers)

New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics

S. Yu. Dobrokhotovab, G. N. Makrakiscd, V. E. Nazaikinskiiab, T. Ya. Tudorovskiie

a Ishlinsky Institute for Problems in Mechanics, Moscow, Russia
b Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russia
c Institute of Applied and Computational Mathematics, Foundation for Research and Technology-Hellas, Heraklion, Crete, Greece
d Department of Mathematics and Applied Mathematics, University of Crete, Crete, Greece
e Radboud University Nijmegen, Institute for Molecules and Materials, Nijmegen, The Netherlands
Full-text PDF (703 kB) Citations (30)
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DOI: https://doi.org/10.4213/tmf8462
Abstract: We suggest a new representation of Maslov's canonical operator in a neighborhood of caustics using a special class of coordinate systems (eikonal coordinates) on Lagrangian manifolds. We present the results in the two-dimensional case and illustrate them with examples.
Keywords: semiclassical asymptotics, focal point, caustic, integral representation, Bessel function, Schrödinger equation, wave beam.
Received: 24.12.2012
Revised: 24.07.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 177, Issue 3, Pages 1579–1605
DOI: https://doi.org/10.1007/s11232-013-0123-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. Yu. Dobrokhotov, G. N. Makrakis, V. E. Nazaikinskii, T. Ya. Tudorovskii, “New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics”, TMF, 177:3 (2013), 355–386; Theoret. and Math. Phys., 177:3 (2013), 1579–1605
Citation in format AMSBIB
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    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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