An initial value representation for the coherent state propagator with complex trajectories

We present an initial value representation for the semiclassical coherent state propagator based on complex trajectories. We map the complex phase space into a real one with twice as many dimensions and introduce initial valued trajectories in this double phase space. We use a procedure to eliminate non-contributing trajectories that allows for the automation of the entire calculation, rendering it simple. The resulting semiclassical formulas do not show divergences due to caustics and provide accurate results in short computational times.