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arxiv: 1009.4746 · v1 · pith:OAB4EJ75new · submitted 2010-09-24 · 🧮 math-ph · math.MP

On the wave operators and Levinson's theorem for potential scattering in R³

classification 🧮 math-ph math.MP
keywords theoremformulalevinsonoperatorspotentialscatteringwaveadvocate
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The paper is a presentation of recent investigations on potential scattering in R^3. We advocate a new formula for the wave operators and deduce the various outcomes that follow from this formula. A topological version of Levinson's theorem is proposed by interpreting it as an index theorem.

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