U. Tirnakli et al., THE EFFECT OF NONEXTENSIVITY ON THE TIME DEVELOPMENT OF QUANTUM-SYSTEMS, Zeitschrift fur Physik. B, Condensed matter, 104(2), 1997, pp. 341-345
In this study, the classical evolution operator has been generalized w
ithin Tsallis thermostatistics. By using the generalized evolution ope
rator, the q-dependent transition probability of a quantal system, nam
ely 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 exampl
e from quantum mechanics has been solved in the frame of this formalis
m and the effect of q-index has been clearly illustrated in the figure
s.