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Article Dans Une Revue Advances in Applied Mathematics Année : 2009

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

Résumé

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.

Dates et versions

hal-00218298 , version 1 (26-01-2008)

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W. K. Abou Salem, Jérémy Faupin, J. Froehlich, I. M. Sigal. On the theory of resonances in non-relativistic QED and related models. Advances in Applied Mathematics, 2009, 43, pp.201-230. ⟨hal-00218298⟩

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