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- Title
New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics.
- Authors
Dobrokhotov, S.; Makrakis, G.; Nazaikinskii, V.; Tudorovskii, T.
- 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.
- Subjects
MATHEMATICAL formulas; MASLOV index; OPERATOR theory; CAUSTICS (Optics); ASYMPTOTIC expansions; MANIFOLDS (Mathematics); BESSEL functions; SCHRODINGER equation
- Publication
Theoretical & Mathematical Physics, 2013, Vol 177, Issue 3, p1579
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-013-0123-0