Generalized Master Equation GME

Eq. (2.25) is often referred to as generalized master equation (GME). It should be noted that Eq. (2.20) or (2.25) describes the time evolution of an isolated system. 

From Eq. (3.34), one can obtain the generalized master equation (GME), which describes the dynamics of populations and coherences (or phases) of the systems. 

In this section, the general case of non-adiabatic electronic transition is considered. To describe the dynamical processes of the system, the generalized master equation (GME) shall be used [3,10-16] ... 

Equation (20) is the central result of the Zwanzig projection method, and it is one of the two theoretical tools under scrutiny in this chapter, the first being the Generalized Master Equation (GME), of which Eq. (20) is a remarkable example, and the second being the Continuous Time Random Walk (CTRW) [17]. It must be pointed out that to make Eq. (20) look like a master equation, it is necessary to make the third term on the right-hand side of it vanish. To do so, the easiest way is to make the following two assumptions ... 

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