On the Mapping Properties of the Wave Operators in Scattering Theory

Arne Jensen and Shu Nakamura
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Arne Jensen: Aalborg University, Department of Mathematics and Computer Science, Institute for Electronic Systems
Shu Nakamura: University of Tokyo, Department of Pure and Applied Sciences

A chapter in Mathematical Physics X, 1992, pp 447-450 from Springer

Abstract: Abstract In this note we describe some recent results on the mapping properties of the wave operators for two-body Schrödinger operators with long range potentials. We show that the wave operators and adjoint wave operators, localized in energy, map a weighted L 2-space into a slightly larger weighted L 2 -space. We also give some preliminary results on the mapping properties between the L p -spaces. The precise statement of the results requires some preparation.

Date: 1992
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DOI: 10.1007/978-3-642-77303-7_50

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