Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625148 | Advances in Applied Mathematics | 2009 | 30 Pages |
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