Hermitian and non-Hermitian formulations of the time evolution of quantum decay

Abstract

This work discusses Hermitian and non-Hermitian formulations for the time evolution of quantum decay, that involve respectively, continuum wave functions and resonant states, to show that they lead to an identical description for a large class of well behaved potentials. Our approach is based on the analytical properties of the outgoing Green's function to the problem in the complex wave number plane.

arXiv comment6 pages,3 figures

References in corpus (2)

• Making Sense of Non-Hermitian Hamiltonians
• Comment on "Evolution of a Quasi-Stationary State"

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