Asymptotic Methods for Wave and Quantum Problems

The collection consists of four papers in different areas of mathematical physics united by the intrinsic coherence of the asymptotic methods used. The papers describe both the known results and most recent achievements, as well as new concepts and ideas in mathematical analysis of quantum and wave problems. In the introductory paper ``Quantization and Intrinsic Dynamics'' a relationship between quantization of symplectic manifolds and nonlinear wave equations is described and
discussed from the viewpoint of the weak asymptotics method (asymptotics in distributions) and the semiclassical approximation method.