Article ID Journal Published Year Pages File Type
4625148 Advances in Applied Mathematics 2009 30 Pages PDF
Abstract

We study the mathematical theory of quantum resonances in the standard model of non-relativistic quantum electrodynamics (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 Topics
Physical Sciences and Engineering Mathematics Applied Mathematics