Graduate School of Mathematical Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo 153–8914, Japan.
*E-mail: kitada@ms.u-tokyo.ac.jp
(Communicated by Toka Diagana)
Fundamental solution for a Schrödinger equation with a time-dependent potential of long-range type is constructed. The solution is given as a Fourier integral operator with a symbol uniformly bounded global in time, when measured in natural semi-norms of a symbol class.
Schrödinger equation, fundamental solution, Fourier integral operators, long-range potentials, scattering theory
