Unitarity of quantum tunneling decay for an analytical exact non-Hermitian resonant-state approach

摘要

By using an analytical exact non-Hermitian formalism for quantum tunneling decay that involves the expansion of the decaying wave function as a linear combination of resonant states and transient functions associated with the complex poles of the outgoing Green's function to the problem, it is shown that the integrated decaying probability density in the whole space satisfies unitarity at each value of time. (C) 2020 Elsevier Inc. All rights reserved.