Fundamental facts concerning reversible master equations

In this Letter, the eigenvalues of the so-called Hamilton quantum formalism of a reversible master equation is endowed with an explicit probability implication by deducing the Green-Kubo formula of a reversible finite-state Markov jump process with continuous time. And interestingly, the transport coefficient derived from the Green-Kubo formula is shown to be equivalent to the expectation of the conditional diffusion coefficient (CDC). Furthermore, we manifest that it is impossible for stochastic resonance (SR) to occur in systems with zero entropy production by demonstrating the Lorentzian power spectrum of any reversible finite-state master equation