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

Authors :
Salem, W. K. Abou
Faupin, J.
Froehlich, J.
Sigal, I. M.
Publication Year :
2007

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.<br />Comment: 28 pages

Subjects

Subjects :
Mathematical Physics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0711.4708
Document Type :
Working Paper