Phase transitions in doped quantum paraelectrics are studied using the tran
sverse Ising model. In particular, effects of random fields on the temperat
ure dependence of polarization and dielectric susceptibility are simulated.
The results show that random fields are responsible for the precursor beha
vior observed experimentally. Simulations on the field dependence of the di
electric susceptibility are performed and the results agree with the scalin
g properties found on Sr1-xCaxTiO3.