New formulas for Maslov's canonical operator in a neighborhood of focal
points and caustics in 2D semiclassical asymptotics [PDF]
S. Yu. Dobrokhotov, G. Makrakis, V. E. Nazaikinskii, T. Ya. TudorovskiiWe 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].View original: http://arxiv.org/abs/1308.0182
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