In this study, using the base of coherent states, Landau diamagnetism
has been generalized within Tsallis Thermostatistics. As far as we kno
w, this is the first attempt to introduce coherent states in this form
alism. The magnetization and the susceptibility of the system have bee
n obtained and compared with the standard result to illustrate the eff
ect of nonextensivity. Then, adding a perturbation term to the Hamilto
nian of the system, nonextensive effects on diamagnetic susceptibility
have been investigated. In addition to this, making use of the q(G)-d
eformed partition function of the q(G)-oscillator system, the magnetiz
ation for q(G)-deformed Landau diamagnetism has been derived, with the
aim of comparing the results obtained within both formalisms.