A remark on simple scattering theory

نویسنده

  • Hitoshi Kitada
چکیده

Scattering theory between the fractional power H0 = κ−1(−∆)κ/2 (κ ≥ 1) of negative Laplacian and the Hamiltonian H = H0 + V perturbed by shortand longrange potentials considered in [10] is revisited and a new proof of the existence and asymptotic completeness of wave operators is given with utilizing the smooth operator technique. AMS Subject Classification: Primary 35P25, 81U05 ; Secondary 47A40, 35J10, 35S30.

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تاریخ انتشار 2010