A new look at Mourre's commutator theory

Sylvain Golénia; Thierry Jecko

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A new look at Mourre's commutator theory

Sylvain Golénia·Thierry Jecko

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Abstract

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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Sylvain Golénia, Thierry Jecko. 2006-07-12. A new look at Mourre's commutator theory. https://arxiv.org/abs/math/0607275

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