Abstract
If a selfadjoint generator of a diffusion process is perturbed by nonnegative potentials different on a compact region of non-zero measure the corresponding wave operators exist and are asymptotically complete even if one potential is singular on the region considered. That includes the hardcore potential scattering problem for second-order elliptic differential operators with variable coefficients.
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Demuth, M. On scattering of diffusion process generators. Lett Math Phys 4, 417–424 (1980). https://doi.org/10.1007/BF00417410
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DOI: https://doi.org/10.1007/BF00417410