The Hamilton-Jacobi treatment for non-abelian Chern-Simons system
  The non-abelian Chern-Simons field interacting with $N$ component complex field is treated as a constrained system using the Hamilton-Jacobi approach. The reduced phase space Hamiltonian density is obtained without introducing Lagrange multipliers and with out any additional gauge fixing condition. The quantization of this system is also discussed. 
S. I. Muslih