4,156 research outputs found
The Hamilton-Jacobi treatment for non-abelian Chern-Simons system
The non-abelian Chern-Simons field interacting with 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.Comment: 7 pages, Late
Hamilton-Jacobi quantization of singular Lagrangians with linear velocities
In this paper, constrained Hamiltonian systems with linear velocities are
investigated by using the Hamilton-Jacobi method. We shall consider the
integrablity conditions on the equations of motion and the action function as
well in order to obtain the path integral quantization of singular Lagrangians
with linear velocities.Comment: late
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