arXiv Analytics

Sign in

arXiv:0711.4708 [math-ph]AbstractReferencesReviewsResources

On the theory of resonances in non-relativistic QED and related models

W. K. Abou Salem, J. Faupin, J. Froehlich, I. M. Sigal

Published 2007-11-29, updated 2008-01-11Version 2

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.

Related articles: Most relevant | Search more
arXiv:math-ph/0611013 (Published 2006-11-07, updated 2007-11-30)
Spectral Theory for the Standard Model of Non-Relativistic QED
arXiv:0709.2493 [math-ph] (Published 2007-09-16, updated 2009-07-27)
Infraparticle Scattering States in Non-Relativistic QED: I. The Bloch-Nordsieck Paradigm
arXiv:1501.00156 [math-ph] (Published 2014-12-31)
The Standard Model in Noncommutative Geometry and Morita equivalence