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arXiv · 1308.0182

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

S. Yu. Dobrokhotov·G. Makrakis·V. E. Nazaikinskii·T. Ya. Tudorovskii
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Abstract

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].

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S. Yu. Dobrokhotov, G. Makrakis, V. E. Nazaikinskii, T. Ya. Tudorovskii. 2013-08-01. New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in 2D semiclassical asymptotics. https://doi.org/10.1007/s11232-013-0123-0

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