Abstract
An analytically solvable model of a localized electron-phonon system is treated by means of the operator algebra within the formalism of Non-Equilibrium Thermo Field Dynamics (NETFD) in order to obtain the time-resolved spectrum for transient resonant light scattering of the system. The derivation, within NETFD, of the analytical expression for a four-point function, needed to obtain the spectrum, is compaired with the derivation within the Density Operator Formalism. Through the application and the comparision, the algebraic structure of NETFD becomes clearer, and the advantage of its methodology with respect to non-equilibrium transient phenomena is revealed.
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