New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in 2D semiclassical asymptotics

We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian manifolds. The specific features of the two-dimensional case are considered. The general case is treated i...

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Veröffentlicht in:	arXiv.org 2013-08
Hauptverfasser:	S Yu Dobrokhotov, Makrakis, G, Nazaikinskii, V E, T Ya Tudorovskii
Format:	Artikel
Sprache:	eng
Schlagworte:	Coordinates Mathematics - Analysis of PDEs Mathematics - Mathematical Physics Operators (mathematics) Physics - Mathematical Physics
Online-Zugang:	Volltext
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Zusammenfassung:	We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian manifolds. The specific features of the two-dimensional case are considered. The general case is treated in arXiv:1307.2292 [math-ph].
ISSN:	2331-8422
DOI:	10.48550/arxiv.1308.0182