  The critical current density Jc in type-II conventional and high-Tc
superconducting bulk materials is investigated based on the quantum theory for
the vortex dynamics. It is shown that for a constant magnetic field, the
critical current density Jc decreases weakly with increasing temperature when
T<T_dp(depinning temperature); when T_dp< T <T_f (boundary fluctuation
temperature,Jc is power-law-decaying,and when T>T_f,Jc decays exponentially;
while for a constant temperature, Jc first decreases, then increases after
reaching a maximum, and finally decreases again as the magnetic field
increases. These results are in agreement with the experiments.
