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| HAL: hal-00218298, version 1 |
| arXiv: 0711.4708 |
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| Advances in Applied Mathematics 43 (2009) 201-230 |
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| On the theory of resonances in non-relativistic QED and related models |
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| W. K. Abou Salem 1J. Faupin 2 |
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| (2009) |
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| We study the mathematical theory of quantum resonances in the standard model of non-relativistic QED and in Nelson's model. In particular, we estimate the survival probability of metastable states corresponding to quantum resonances and relate the resonances to poles of an analytic continuation of matrix elements of the resolvent of the quantum Hamiltonian. |
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| 1: | Department of Mathematics - University of Toronto |
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University of Toronto |
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| 2: | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| 3: | Institute for Theoretical Physics |
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ETH Zurich |
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| Subject | : | Mathematics/Mathematical Physics Physics/Mathematical Physics |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/0711.4708 |
| hal-00218298, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00218298 | |
| oai:hal.archives-ouvertes.fr:hal-00218298 | |
| From: Jérémy Faupin | |
| Submitted on: Saturday, 26 January 2008 12:45:32 | |
| Updated on: Wednesday, 4 November 2009 10:28:42 | |
