Enss' Theory in Long Range Scattering: Second Order Hyperbolic and Parabolic Operators

摘要

We prove asymptotic completeness using Enss' method for h sub 0 (P)+Wsub(S)(Q)+Wsub(L)(Q) where h sub 0 :Rsup(n) -> R is a polynomial of degree 2 with lim vertical strokeh sub 0 (zeta)vertical stroke +/nabla h sub 0 (zeta)vertical stroke = infinite, Wsub(S) a short range potential and Wsub(L) a smooth long range potential. (Atomindex citation 16:000015)