ABSTRACT

In the previous chapter we studied the Kubo formalism, Langevin equa-

tion, problems associated with the Langevin equation, and the Generalized

Langevin Equation (GLE). From the problems of the Langevin equation we

observed that the Drude formula is bound to be invalid in a general setting.

GLE leads to Generalized Drude Formula (GDF) in which the Drude scatter-

ing rate (i.e., the friction coefficient) acquires a frequency dependence and has

general validity. This frequency dependence is due to memory effects in the

friction coefficient and when these memory effects are neglected we get back

the simple Drude formula from GDF.