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arxiv: math/0607275 · v1 · submitted 2006-07-12 · 🧮 math.SP · math-ph· math.MP

A new look at Mourre's commutator theory

classification 🧮 math.SP math-phmath.MP
keywords mourretheorycommutatorresultabsorptionapproachcalledcontinuous
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Mourre's commutator theory is a powerful tool to study the continuous spectrum of self-adjoint operators and to develop scattering theory. We propose a new approach of its main result, namely the derivation of the limiting absorption principle from a so called Mourre estimate. We provide a new interpretation of this result.

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