We consider the space-time behavior of scattering solutions to the Schrodinger equation [formula omitted] where H denotes a self-adjoint operator in the Hilbert space. We prove the fact that every scattering solution which has the [formula omitted] estimate for some vanishes identically. Furthermore, we show, every non-trivial scattering solution has the estimate [formula omitted].
|ジャーナル||Publications of the Research Institute for Mathematical Sciences|
|出版物ステータス||Published - 1987|
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