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

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

2007-11-29

arxiv.org/abs/0711.4708v2

Physics

Mathematical Physics

28 pages

Scientific paper

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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