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 (LAP) from a so called Mourre estimate. We provide a new interpretation of this result.
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Communicated by Aurelian Gheondea.
Received: September 20, 2006. Revised: February 1, 2007.
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Golénia, S., Jecko, T. A New Look at Mourre’s Commutator Theory. Complex anal.oper. theory 1, 399–422 (2007). https://doi.org/10.1007/s11785-007-0011-4
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DOI: https://doi.org/10.1007/s11785-007-0011-4