Long range scattering for the two-body schrödinger Equation with "hörmander like" potentials
- 1 January 1986
- journal article
- research article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 11 (2) , 123-165
- https://doi.org/10.1080/03605308608820421
Abstract
We present a time-dependent proof of existence and completeness of modified wave operators for a class of momentum-dependent long range potentials V of arbitrary decrease at infinity. The conditions on the successive derivative of V allow for some spatial oscillations like sin . We also get the absence of continuous singular spectrum for the hamiltonian.Keywords
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