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

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Theoretical and mathematical physics 2013-12, Vol.177 (3), p.1579-1605
Hauptverfasser:	Dobrokhotov, S. Yu, Makrakis, G. N., Nazaikinskii, V. E., Tudorovskii, T. Ya
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematical and Computational Physics Physics Physics and Astronomy Theoretical
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0040-5779 1573-9333
DOI:	10.1007/s11232-013-0123-0