Spectral and Scattering Theory

ISBN-13: 9780824792510 / Angielski / Miękka / 1994 / 352 str.

Mitsuru Ikawa; Ikawa Ikawa; M. Ikawa

Opis

"This useful volume, based on the Taniguchi International Workshop held recently in Sanda, Hyogo, Japan, discusses current problems and offers the mostup-to-date methods for research in spectral and scattering theory."

Spis treści

Stationary Phase Method with an Estimate of the Remainder Term over a Space of Large Dimension. Fibration of the Phase Space for the Periodic Non-Linear Schrodinger Equation and for the Periodic Toda Lattice Equations. Poles of Scattering Matrices for Two Degenerate Convex Bodies. A Uniqueness Theorem for the N-Body Schrodinger Equation and Its Applications. Spectral and Scattering Theory for the Laplacian on Asymptotically Euclidian Spaces. Tunnelling Effects in Momentum Space and Scattering. Normal Form and Global Solutions for the Klein-Gordon-Zakharov Equations. Pointwise Semi-classical Asymptotics for Total Cross Sections in N-Body Problems. General Characteristics of Non-Linear Dynamics. Non-Smooth Solutions of the Elastic Wave Equation and Singularities of the Scattering Kernal. Spectral and Scattering Theory for Many-Particle Systems with Stark Effect. Eigenfunctions of the Continuous Spectrum for the N-Particle Schrodinger Operator. Counting Scattering Poles. (Part contents).

O autorze

MITSURU IKAWA is a Professor of Mathematics at Osaka University, Japan. The author of more than 40 professional papers and book chapters, he is a member of the Mathematical Society of Japan, and serves as editor of the Osaka Journal of Mathematics and associate editor of the Japanese Journal of Mathematics. Dr. Ikawa received the B.Sc. (1965) and M.Sc.(1967) degrees in mathematics from Kyoto University, Japan, and the Ph.D. degree (1970)in mathematics from Osaka University, Japan.