On the theory of resonances in non-relativistic QED and related models
classification
🧮 math-ph
math.MP
keywords
resonancesquantummodelnon-relativistictheoryanalyticcontinuationcorresponding
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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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