A new look at Mourre's commutator theory

Mathematics – Spectral Theory

Scientific paper

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Scientific paper

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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