ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, cilt.104, ss.341-345, 1997 (SCI İndekslerine Giren Dergi)
In this study, the classical evolution operator has been generalized within Tsallis thermostatistics. By using the generalized evolution operator, the q-dependent transition probability of a quantal system, namely Fermi Golden rule, has been introduced as w(n --> m) = \ [U-q(t,t(o))](mn)\(2). In order to make the situation concrete, a simple example from quantum mechanics has been solved in the frame of this formalism and the effect of q-index has been clearly illustrated in the figures.