L^p boundedness of the wave operator for the one dimensional Schroedinger operator

Details L^p boundedness of the wave operator for the one dimensional Schroedinger operator L^p boundedness of the wave operator for the one dimensional Schroedinger operator

2005-09-26

arxiv.org/abs/math-ph/0509059v3

Physics

Mathematical Physics

26 pages

Scientific paper

10.1007/s00220-006-0098-x

Given a one dimensional perturbed Schroedinger operator H=-(d/dx)^2+V(x) we consider the associated wave operators W_+, W_- defined as the strong L^2 limits as s-> \pm\infty of the operators e^{isH} e^{-isH_0} We prove that the wave operators are bounded operators on L^p for all 1

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