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HAL: hal-00218298, version 1
arXiv: 0711.4708
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On the theory of resonances in non-relativistic QED and related models
Abou Salem W.K., Faupin J., Froehlich J., Sigal I.M.
Advances in Applied Mathematics 43 (2009) 201-230 - http://hal.archives-ouvertes.fr/hal-00218298
Publication type: Article in peer-reviewed journal
Subject:
Mathematics/Mathematical Physics
Physics/Mathematical Physics
Title: On the theory of resonances in non-relativistic QED and related models
Author(s): W. K. Abou Salem 1, J. Faupin 2, J. Froehlich 3, I. M. Sigal 1
Laboratory:
1:  Department of Mathematics - University of Toronto
http://www.math.toronto.edu/
University of Toronto
Department of Mathematics - University of Toronto - Bahen Centre - 40 St. George St. - Toronto, Ontario - CANADA - M5S 2E4
Canada
2:  Institut de Mathématiques de Bordeaux (IMB)
http://www.math.u-bordeaux.fr/IMB/
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
351 cours de la Libération 33405 TALENCE CEDEX
France
3:  Institute for Theoretical Physics
ETH Zurich
Switzerland
Abstract: 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.
Fulltext language: English
Production date: 2008-01-11
Journal:
Advances in Applied Mathematics
Publisher Elsevier
ISSN 0196-8858 (eISSN : 1090-2074)
Audience: international
Publication date: 2009
Volume: 43
Page, identifiant, ...: 201-230
Fulltext link: 
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