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| HAL: hal-00368976, version 1 |
| DOI: 10.1007/s11785-007-0011-4 |
| Detailed view |  Export this paper |
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| Complex Analysis and Operator Theory 1, 3 (2007) 399-422 |
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| A new look at Mourre's commutator theory |
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| Sylvain Golénia 1Thierry Jecko 2 |
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| (2007) |
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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 (LAP) from a so called Mourre estimate. We provide a new interpretation of this result |
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| 1: | Department of Mathematical Methods in Physics |
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University of Warsaw |
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| 2: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Mourre's commutator theory – Mourre estimate – limiting absorption principle – continuous spectrum |
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| hal-00368976, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00368976 | |
| oai:hal.archives-ouvertes.fr:hal-00368976 | |
| From: Dominique Hervé | |
| Submitted on: Wednesday, 18 March 2009 10:02:03 | |
| Updated on: Wednesday, 18 March 2009 10:02:03 | |
