Abstract
Scattering theory between the fractional power $H_0=\kappa^{-1}(-\Delta)^{\kappa/2}$ $(\kappa\ge 1$) of negative Laplacian and the Hamiltonian $H=H_0+V$ perturbed by shortand long-range potentials considered in [14] is revisited and a new proof of the existence and asymptotic completeness of wave operators is given with utilizing the smooth operator technique.
Citation
Hitoshi Kitada. "A Remark on Simple Scattering Theory." Commun. Math. Anal. 11 (2) 124 - 138, 2011.
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