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.

6 pages,3 figures

References in corpus (1)

• Making Sense of Non-Hermitian Hamiltonians

Cited by in corpus (4)

• Analytical study of quadratic and non-quadratic short-time behavior of quantum decay
• Nonexponential tunneling decay of a single ultracold atom
• Non-Hermitian Model for Asymmetrical Tunneling
• Underlying non-Hermitian character of the Born rule in open quantum systems