  Ginzburg-Landau (GL) equations for the coexistent state of superconductivity
and antiferromagnetism are derived microscopically from the t-J model with
extended transfer integrals. GL equations and the GL free energy, which are
obtained based on the slave-boson mean-field approximation, reflect the
electronic structure of the microscopic model, especially the evolution of the
Fermi surface due to the change of the doping rate. Thus they are suitable for
studying the material dependence of the coexistent states in high-$T_C$ cuprate
superconductors.
