Semiclassical Wigner Function and Geometrical Optics

Abstract

We consider the problem of high-frequency asymptotics for the time-dependent onedimensional Schrödinger equation with rapidly oscillating initial data. This problem is commonly studied via the WKB method. An alternative method is based on the limit Wigner measure. This approach recovers geometrical optics, but, like the WKB method, it fails at caustics. To… (More)
DOI: 10.1137/S1540345902409797

Topics

6 Figures and Tables

Cite this paper

@article{Filippas2003SemiclassicalWF, title={Semiclassical Wigner Function and Geometrical Optics}, author={Stathis Filippas and George N. Makrakis}, journal={Multiscale Modeling & Simulation}, year={2003}, volume={1}, pages={674-710} }