Scattering theory for the fractional power of negative Laplacian
نویسنده
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 long-range potentials is developed. The existence and asymptotic completeness of wave operators are proved. AMS Subject Classification: Primary 35P25, 81U05 ; Secondary 47A40, 35J10, 35S30.
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