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

2007/11/29 by Walid K. Abou Salem, Salem, W. K. Abou, Jérémy Faupin +5
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Random Matrices and Applications #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0711.4708

openalex publication_date 2007/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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