Inequality of the resonant half-linewidth and the decay rate of a quasi-bound state in a resonant double barrier

When the environment of a one-dimensional resonant double barrier acts as a source of dephasing or dissipation we find that the resonant half-linewidth is larger than the decay rate of a quasi-bound state. This result shows that measuring the decay rate of a quasi-bound state does not necessarily yield the resonant half-linewidth. In addition, when dephasing is the domanant effect, the resonant half-width, the decay rate of a quasi-bound state, and the resonant transmission coefficient are related simply to each other.