Exact Propagator for $SU(N)$ Coherent State

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, REVTEX 3.0, SNUTP-93-47

Scientific paper

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 Schr\"odinger equations.

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