Exact Propagator for $SU(N)$ Coherent State
Abstract
Description
We present a classical integrable model of $SU(N)$ isospin defined on complex projective phase space in the external magnetic field and solve it exactly by constructing the action-angle variables for the system. We quantize the system using the coherent state path integral method and obtain an exact expression for quantum mechanical propagator by solving the time-dependent Schrödinger equations.
11 pages, REVTEX 3.0, SNUTP-93-47
11 pages, REVTEX 3.0, SNUTP-93-47