NON-ABELIAN CHERN-SIMONS PARTICLES AND THEIR QUANTIZATION

A many-body Schrodinger equation for non-Abelian Chem-Simons particles is obtained from both point-particle and field-theoretic pictures. We present a particle Lagrangian and a field-theoretic Lagrange density, and discuss their properties. Both are quantized by the symplectic me thod of Hamiltonian reduction. An N-body Schrodinger equation for the particles is obtained from both starting points. It is shown that the resulting interaction between particles can be replaced by nontrivial boundary conditions. Also, the equation is compared with the one given in the literature.